Major Field Applied Mathematics Area of Specializations...

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Addresses: Abu Dhabi University, Faculty of Arts and Sciences, Department of Applied Sciences and Mathematics P.O Box 59911, Abu Dhabi, UAE Webpage: http://www.adu.ac.ae/en/article/Prof-Haydar-Akca-CV- and-Publications.html http://scholar.google.com/citations?user=OQIdae4AAAAJ International Conference: Mathematical Science and Applications, December 26-31, 2012, Abu Dhabi, UAE http://www.adu.ac.ae/en/section/international-conference- mathematical-sciences-and-applications International Conference: 2007 - Dynamical Systems and Applications, July 1-6 July, 2007, Izmir, Turkey http://faculty.uaeu.ac.ae/hakca/Daynamical%20System- 2007.htm International Conference http://faculty.uaeu.ac.ae/hakca/ International Conference-2010, The 6th Dynamical Systems and Applications International Conference-2009, The 5th Dynamical Systems and Applications Major Field Applied Mathematics Area of Specializations Functional Differential Equations Research Interests 1. Neural Networks 2. Functional Differential Equations 3. Non-local Problems 4. Wavelet-Based Algorithms 5. Mathematical Modelling

Transcript of Major Field Applied Mathematics Area of Specializations...

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Addresses: Abu Dhabi University, Faculty of Arts and Sciences, Department of Applied Sciences and Mathematics P.O Box 59911, Abu Dhabi, UAE Webpage:

http://www.adu.ac.ae/en/article/Prof-Haydar-Akca-CV-and-Publications.html http://scholar.google.com/citations?user=OQIdae4AAAAJ

International Conference: Mathematical Science and

Applications, December 26-31, 2012, Abu Dhabi, UAE

http://www.adu.ac.ae/en/section/international-conference-

mathematical-sciences-and-applications

International Conference: 2007 - Dynamical Systems and

Applications, July 1-6 July, 2007, Izmir, Turkey

http://faculty.uaeu.ac.ae/hakca/Daynamical%20System-

2007.htm

International Conference

http://faculty.uaeu.ac.ae/hakca/

International Conference-2010, The 6th Dynamical Systems

and Applications

International Conference-2009, The 5th Dynamical Systems

and Applications

Major Field Applied Mathematics

Area of

Specializations

Functional Differential Equations

Research Interests

1. Neural Networks 2. Functional Differential Equations 3. Non-local Problems 4. Wavelet-Based Algorithms 5. Mathematical Modelling

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Emails:

[email protected] , [email protected]

Associate Editor:

Journal of Applied Mathematics and Computing

http://www.editorialmanager.com/jamc/

Editor in Chief: International Journal of Applied Physics and Mathematics (IJAPM), http://www.ijapm.org/ Editor in Chief:

International Journal: Mathematical Manuscripts (IJMM)

http://www.ripublication.com/ijmm.htm http://www.ceser.res.in/ijamas.html www.ceserres.org/ijamas.html Editor-in-Chief:

International Journal of Applied Mathematics & Statistics

http://www.ceser.in/ijamas.html www.ceserp.com/cp-jour

Editor-in-Chief:

International Journal of Mathematics and Computation

www.ceser.in/ijmc.html www.ceserp.com/cp-jour

Editor:

International Journal of Mathematics and Statistics

www.ceser.in/ijms.html www.ceserp.com/cp-jour

BRIEF CV AND LIST OF RECENT PUBLICATIONS NAME: HAYDAR AKCA ADDRESS: Abu Dhabi University, Faculty of Arts and

Sciences, Department of Applied Sciences and Mathematics P.O Box 59911, Abu Dhabi, UAE Webpage: http://www.adu.ac.ae/en/article/Prof-Haydar-Akca-CV-and-Publications.html

E-mail: [email protected] , [email protected] Mobile: 971 50 2338191 Birth Date: February 10, 1950 Birth Place: Burunoren- Sarioglan, Kayseri, Turkey Nationality: Turkish

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Education:

1. B.Sc. in Mathematics-Astronomy, Ege University, faculty of Science, Department of Mathematics- Astronomy, Izmir, Turkey, 1970 and Izmir Teacher Training College “L’Ecole Normale Superieure”.

2. Post-Graduate Study in Computer Sciences, Islamabad University, Islamabad, Pakistan, 1974.

3. M. Sc. in Differential Equations, faculty of Arts and Science, Department of Mathematics, Inonu University, Malatya, Turkey, 1979.

4. Ph.D. in Functional Differential Equations, Inonu University faculty of Arts and Science, Department of Mathematics and partially in Helsinki University of Technology Institute of Mathematics, Finland, 1983.

Positions Held:

1. 1970 -1972 Mathematics Teacher in High School. 2. 1972 - 1974 RCD Scholarship holders for Post-Graduate

Study, Islamabad University, and Punjab University, Pakistan.

3. 1974 - 1977 Computer Programmer, Ministry of National Education, Ankara.

4. 1977 - 1984 Research Assistant, Faculty of Arts and Science, Department of Mathematics, Inonu University, Malatya.

5. 1984 - 1988 Asst. Professor in Applied Mathematics, Faculty of Arts and Science Department of Mathematics, Erciyes University, Kayseri.

6. 1988 -1989 Visiting Professor, Eastern Mediterranean University, Faculty of Arts and Science, Department of Mathematics, North Cyprus.

7. 1989 - 1996 Assoc. Professors in Applied Mathematics, Faculty of Arts and Science, Department of Mathematics, Akdeniz University Antalya.

8. 1996 - 1998 Professor in Applied Mathematics, faculty of Arts and Science, Department of Mathematics, Akdeniz University.

9. 1998 - 2005 Visiting Professor in Applied Mathematics, King Fahd University of Petroleum & Minerals, faculty of

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Science, department of Mathematics and Statistics, 31261 Dhahran, Saudi Arabia.

10. 2005-2010, Professor in Applied Mathematics United Arab Emirates University, Faculty of Science, Department of Mathematics.

11. Since 2010, till Prof. in Applied Mathematics, Abu Dhabi University College of Arts and Sciences, Department of Applied Sciences and Mathematics.

Research Project and Grants

1. The Scientific and Technical Research Council of Turkey (TÜBĐTAK), M. Sc. Study, 1978-1979.

2. The Scientific and Technical Research Council of Turkey, (TÜBĐTAK), Research Grand on Functional Differential Equations, Sofia Technical University,

3. The Scientific and Technical Research Council of Turkey, (TÜBĐTAK), Research Grand on Functional Differential Equations, Krakow Technical University, 1995-1996.

4. NATO Collaborative Research Grand, Ben-Gurion University, Krakow technical University, 1996-1997.

5. King Fahd University of Petroleum & Minerals, Dynamics of Neural Networks with Impulse, SABIC/FAST TRACK/2002-7, 2001-2002.

6. King Fahd University of Petroleum & Minerals, Dynamics of Extension of the Hopfield Model, SAB/2004-46, 2004.

7. UAE University, Research Affairs, Funded Research Project “Existence of “global” solutions for the first order neutral nonlocal differential equation with impulses” 2006-2007 .

8. UAE University, Research Affairs, Funded Research Project “Functional Differential Equations, Stability, Control and Applications” 2008-2009.

9. External Research Grant (2010): "Neural networks with delays and impulses", Funded by the Gulf Cooperation Council (GCC), CL/SQU-UAEU/10/02.

10. Abu Dhabi University, College of Research and Graduate Studies, Research Grand: Neural networks

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applications in healthcare and medicine, CRGS/ICR/01 2012 .

11. Abu Dhabi University, College of Research and Graduate Studies, Undergraduate Research Grand: Modelling with Differential Equations in the Biological and Health Sciences, CRGS/ UGR/No: 19400016

12. Abu Dhabi University, College of Research and Graduate Studies, Undergraduate Research Grand: Using Differential Equations Analyzing Heating and Cooling of Buildings, CRGS/ UGR/No: 19400017

Teaching Subjects for Undergraduate and Graduate Classes:

1. Calculus I-II-III. 2. Ordinary Differential Equations. 3. Partial Differential Equations. 4. Numerical Analysis. 5. Statistics and Probability. 6. Theory and Applications of Difference Equations. 7. Mathematical Modelling. 8. Computer Programming Languages (BASIC, C+,

COBOL, FORTRAN, ALGOL, PASCAL, PL/1). 9. Theory of Differential and Functional Differential

Equations. 10. Introduction to Wavelets and applications.

Research Interest:

1. Functional Differential Equations. 2. Asymptotic Theory, Oscillation Theory for ODE. 3. Mathematical Modelling Using Differential Difference

Equations. 4. Approximate Solutions of Differential Equations using

Spline Functions. 5. Difference Equations. 6. Wavelets and its Applications

Professional Activity

1. Editorial Member of the International Journal of Pure and Applied Mathematical Sciences (IJPAMS).

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2. Editorial Member of the Global Journal of Mathematics and Mathematical Sciences (GJMMS.

3. Editorial Board Member of the International Journal of Applied Mathematics & Statistics (IJAMS).

4. Reviewer of Mathematical Review. 5. Reviewer of Computing Reviews. 6. Referee for the Journal of Entropy and Information

Studies. 7. Referee for the Journal Nonlinear Analysis Series B:

Real World Applications. 8. Referee for the Journal of Mathematical Analysis and

Applications. 9. Referee for Journal of International Journal of

Mathematics and Mathematical Sciences. 10. Referee for the Arabian Journal for Science and

Engineering. 11. Member of the American Mathematical Society. 12. Member of the Turkish Mathematical Society. 13. Editorial Board Member of International Journal:

Mathematical Manuscript (IJMM), Editor-In-Chief. 14. Editorial Board Member of Journal of Wavelet Theory

and Applications (JWTA). 15. Editorial Member of International Journal of

Mathematical Sciences and Engineering Applications (IJMSEA).

16. Editorial Member of Applications and Applied Mathematics: An International Journal (AAM) ISSN: 1932-9466.

17. Senior Member of the International Association of Computer Science and Information Technology (IACSIT)

18. Referee for the Journal of Mathematica 19. Bohemica.Reviewer of the IMA Journal of Applied

Mathematics. 20. Reviewer of the International Journal Applied

Mathematics and Computer Science (AMCS). 21. Reviewer of the journal Numerical Methods for Partial

Differential Equations. 22. Member of the Editorial Board of International Journal

of Mathematics and Statistics [ISSN 0974-7117 (Print), ISSN 0973-8347 (Online)].

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23. Member of the Editorial Board of 'Communications in Mathematics and Applications (CMA).

24. Member of Editorial Board of the International Journal of Nonlinear Analysis and Applications (IJNAA).

25. Referee of the Journal of Applied Mathematics and Computing (JAMC).

26. Member of the Technical Committee, The Third International Conference on Computer Science & Computational Mathematics (ICCSCM 2014), May 8-9, 2014.

27. Referee, Advance in Dynamical Systems and Applications

28. Referee of the Journal Neural Networks. 29. Referee of the Journal Applied Mathematics Letters. 30. Referee of the Jordan Journal of Mathematics and

Statistics. 31. Referee of the IEEE Transactions on Neural Networks

and Learning Systems. 32. Editor of the Walailak Journal of Science and

Technology. 33. Editor in Chief International Journal of Applied

Physics and Mathematics.

Awarded Scholarships and Scientific Visit:

1. RCD Post Graduate Study in Computer Sciences, Islamabad University, 1972-74.

2. TUBITAK (Turkish Sci. & Research Council) M. Sc. and Ph.D. Grant, 1978-83.

3. Research Grant from Government of Finland, Helsinki University of Technology Institute of Mathematics, 1982-83.

4. Research Study in Cluj University Faculty of Mathematics, Romania, 1987.

5. TWAS Research Grant, ICTP, Trieste (one month), 1989. 6. NATO ASI Summer School on Linear Systems, Pissa,

Italy, 7-21 July, 1990. 7. The British Council Research Grant, Birmingham

University Department of Mathematics and Statistics, 1991.

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8. Research Study in Sofia University Department of Mathematics, summer of 1999 and 1994, (each of them with a period of three months).

9. Research Study in Cracow Technical University Institute of Mathematics, 1995, Cracow, Poland.

10. NATO ASI Summer School on The Solutions of Large System AX=B, 12-24 July, 1996, Las-Palma Grand Canaries, Spain.

11. Research Study in Oulu University Department of Mathematics December 1998.

12. Research Study in Adelaide University Department of Mathematics and Statistics July 5 - August 10, 2001.

13. Kazakh-British Technical University, Almaty, Kazakhstan, April 2013.

Attended and Organized Conference and Workshops:

1. First International Colloquium on Numerical Analysis, 13-17, August, 1992, Plovdive, Bulgaria.

2. Third International Colloquium on Differential Equations, 18-22, August 1992, Plovdive, Bulgaria.

3. Third International Colloquium on Numerical Analysis, 13-17, August, 1994, Plovdive, Bulgaria.

4. Fifth International Colloquium on Differential Equations, 18-22, August, 1994, Plovdive, Bulgaria.

5. Organizer of the Workshop on Functional Differential Equations, 13-17 April, 1995, Antalya, Turkey.

6. Organizer of the International Conference on Functional Differential-Difference Equations and Applications, 18-22 August 1997, Antalya, Turkey.

7. Organizer of the Workshop on Functional Delay Differential Equations and Functional Analysis, 2-7 February, 1998, Antalya, Turkey.

8. Biology and Mathematics of Cell Proliferation, June 4 -13, 1997, Saint-Flour, France.

9. International Conference Functional Differential Equations, June 29-July 2, 1998, Ariel, Israel.

10. Organizer of the International Conference Biomathematics Bioinformatics and Applications of

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Functional Differential Difference Equations, July 14-19, 199, Antalya, Turkey.

11. Third International Conference on Dynamic Systems and Applications, May 26 - 29, 1999, Morehouse College, Atlanta, Georgia, USA.

12. Mathematics and Design 2001: The Third International Conference, July 3 – 5, 2001, Deakin University, Geelong, Australia.

13. 19th Conference on Operator Theory, West University, June 27, Jul, 02 2002, Timisoara, Romania.

14. International Conference: Wavelets and Splines, July 03-08, 2003, St. Petersburg, Russia.

15. Organizer of the International Conference: 2004-Dynamical Systems and Applications, July 05-10, 2004, Antalya, Turkey.

16. International Conference on Differential Equations and Applications in Mathematical Biology, Malaspina University-College Nanaimo, British Columbia, Canada, July 18-23, 2004.

17. 7th UAEU, Annual Research Conference, United Arab Emirates University, Al Ain, 22-24 April, 2006.

18. Fourth UAE Math Day an Annual Celebration of Mathematics, The University of Sharjah, April 27, 2006.

19. The Second International Conference on Modelling, Simulation and Applied Optimization, The Petroleum Institute, Abu Dhabi, UAE, March 24-27, 2007.

20. Organizer of the International Conference: 2007-Dynamical Systems and Applications, July 01-06, 2007, Kusadasi, Izmir, Turkey.

21. Second Arab Conference of Biophysics & Mathematical Modelling, (Plenary Speaker), August 21-23, 2007, Cairo.

22. The Ninth Annual U. A. E. University Research Conference, April 21-23, 2008.

23. The Third International Conference on Mathematical Sciences- ICM 2008, March 3-6, 2008.

24. International Conference of Approximation on Scientific Computing (ICASC'08), October 26-30, 2008, Beijing, China.

25. 7th UAE Mathematics Day, April 25,th 2009, University of Sharjah, Department of Mathematics, UAE.

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26. The Sixth International Symposium on Neural Networks, (ISNN2009), May 26-29, Wuhan, China.

27. Organizer of the Fifth International Conference: 2009- Dynamical Systems and Applications, Constanta, Romania, 15-18 June 2009.

28. Program Committee Member, the Seventh International Symposium on Neural Networks (ISNN 2010), June 6-9, 2010, Shanghai, China.

29. Scientific Committee Member, WATER 2010, JUNE 16-19, 2010, CONSTANTZA, ROMANIA.

30. Organizer, International Conference: The 6th 2010-Dynamical Systems and Applications, Antalya–Turkey, July 10-14, 2010.

31. The 25th IFIP TC 7 Conferenceon System Modeling and Optimization, September 12–16, 2011, Berlin.

32. Chair of the Organizing Committee; International Conference: Mathematical Sciences and Applications, December 26-31, 2012, Abu Dhabi University, UAE.

33. IJCAPM 2013 1st Journal Conference on Applied Physics and Mathematics, April, Bangkok, 8-9, 2013.

34. Workshop, Kazakh British University, Almaty, April 15-20, 2013.

35. Chair The 2nd Abu Dhabi University Annual International Conference: Mathematical Science ant Its Applications, November 29- December 01, 2013.

Supervised Graduate Students and Their Thesis’s:

1. Dag Idris, Approximate Solutions of Differential Equations Using Spline Functions, Erciyes University, Faculty of Sciences Department of Mathematics, 1986.

2. Yesilkaya Aydan, Existence and Uniqueness Theorems for Differential Equations, Erciyes University, Faculty of Sciences Department of Mathematics, 1986.

3. Arslan Guvenc, Delay Differential Equations in Banach Space, Akdeniz University Faculty of Sciences Department of Mathematics, 1994.

4. Guray Ugur, Numerical Solutions of Delay Differential Equations Using Difference Scheme, Akdeniz University Faculty of Sciences Department of Mathematics, 1996.

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5. Yenicerioglu Fuat, Neutral Differential Equations, Akdeniz University Faculty of Sciences Department of Mathematics, 1997.

6. Al-Humadain Bader, Wavelets using Spline Functions, King Fahd University of Petroleum and Minerals, Mathematical Science Department, 2001.

7. Al-Garni Said Ali Abdall, Volterra Difference Equations, King Fahd University of Petroleum and Minerals, Mathematical Science Department, 2001.

8. Al Zahrani Eaida, Periodic Solutions of Impulsive Differential Equations, Girls College Eastern Region, Dammam, 2001.

9. Al-Lail Muhammad Husain, Transfer Operator, Wavelets, King Fahd University of Petroleum and Minerals, Mathematical Sciences Department, 2002.

10. Jalina Widjaja, Logistic equations with diffusion, delay and impulses, Flinders University of South Australia School of Informatics and Engineering, Faculty of Sciences and Engineering, Adelaide, South Australia, 2005.

List of Publications:

1. Akca H., An algorithm for the numerical solutions of second order Euler type differential equations, Proceedings of Numerical Analysis, METU, and Ankara, (1983), 58-64.

2. Akca H., Application of discretization methods in oscillation and comparison theorems, Bulletin of Erciyes University Faculty of Science, 2 (1986), 371-377.

3. Akca H.,The friendship of Sturm and Liouville, Bulletin of Erciyes University Faculty of Sciences, 2(1986), 143-154.

4. Akca H., On the oscillatory type solutions of y““= f( x, y, y‘, y“) and linear multi-step method for the numerical solutions, Pure and Applied Mathematics Sciences, 2(1988), 1-8.

5. Akca H., Mathematical Modelling: The relation among success, work and adaptability of a student, Applied Mathematics Notes Canadian Math. Soc.13 (1988), 46-50.

6. Akca H., and Micula G., Approximate solutions of the second order differential equations with deviating argument

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by spline functions Math. Revue d‘Analyse Numerique, 30(1988), 37-46.

7. Akca H. and Micula G., Numerical solutions of differential equation with deviating argument using spline functions, Studia Mathematica, 2 (1988), 45-57.

8. Akca H., Oscillation Criterion for certain second orders differential equations, ICTP, IC-90-286, 1990.

9. Akca H., Mathematical Model: Preserving environment, Journal of Engineering and Sciences, Naval Academia, 25(1990), 35-41.

10. Akca H., and Micula G., Numerical solutions of systems of differentia equations by spline functions Babes-Bolyai University Research Seminar, (1990), 93-104.

11. Akca H., and Micula G., Numerical solutions of differential equation of the order with deviating argument by spline functions, Bulletine of University Baia Mare Serial B Vol. VII, (1991), 47-54.

12. Akca H., and Micula G., Numerical solutions of system of differential equations with deviating argument by spline functions, ACTA Technical Napocensis, 35(1992), 107-116.

13. Akca H., Micula G., and Dag I., Approximate solutions of the second order differential equations with deviating argument by deficient spline functions, Automation Computers Applied Mathematics, 2(1992),87-93.

14. Akca H., Bainov D. and Dimitrova M.B., Asymptotic properties of the solutions of a class of operator-differential equations, Yokohama Mathematical Journal 42(1994), 133-149.

15. Akca H., FORTRAN 77, Students Text Book in Turkish, Akdeniz University Publishing Center, No. 54, 1994.

16. Akca H., Micula G. and Guary U., Continuous approximate solution to the neutral delay differential equations by a simplified Picard’s Method, Studia Mathematica 4 (1994), 69-78.

17. Blaga P., Micula G. and Akca H., On the use of spline functions of even degree for the numerical solution of the delay differentia equations CALCOLO 32(1995), No: 1-2 83-101.

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18. Akca H., Micula G. and Arslan G., Deficient spline approximation for second order neutral delay differential equations, Studia Mathematica, 40 (1995), 85-97.

19. Akca H., Shakhmurov V., and Arslan G., Differential –Operator equations with bounded delay, Nonlinear Study, 2(1995), 179 –190.

20. Akca H., Berezansky L. and Braverman E., On linear integral differential equations with integral impulsive conditions Zeitschrift fur Analysis und ihre Anwendungen 15(1996), No: 3, 709-727.

21. Blaga P., Micula G. and Akca H., The numerical treatment of delay differential equations with constant delay by neutral spline functions of even degree, Liberta Mathematica, Vol.XVI (1996), 123,131.

22. Byszewski L., and Akca H., On a mild solution of a semi linear functional-differential evolution nonlocal problem, J. Applied Mathematics.Stoch. Analy. 10:3 (1997), 265-271.

23. Akca H., Step By Step Statistics, Students Text Book, 1997. 24. Akca H., Covachev V., and Litsyn E. (Eds.) Abstract Book of

the Functional Differential Difference Equations,18-22 , Antalya, August 1997.

25. Heikkila S., and Akca H., On discontinuous implicit functional differential equations with implicit boundary conditions, Preprint, Mathematics, University of Oulu (1998), 21pp.

26. Byszewski L., and Akca H., Existence of solutions of a semi linear functional-differential evolution nonlocal problem, Nonlinear Analysis, 34(1998), 65-72.

27. Akca H., and Covachev V., Periodic solutions of impulsive systems with delay, differential equations, Functional Differential Equations, No. 3-4. 5(1998), 275-286.

28. Akca H., Maksimov V. I. and Berezansky L., On dynamical reconstruction of a pair “control-trajectory” in a system unresolved with respect to derivative, Functional Differential Equations, No. 1-2, 5(1998), 3-19.

29. Akca H., Berezansky L. and Breverman E., On oscillation of a linear delay integro-differential equation Dynamic System and Applications 8(1999), 219 -234.

30. Akca H. and Micula G., Approximate solutions of the differential equations with delay, nonpolynomial spline

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functions Bull. Math. Soc. Sci. Math. Vol. 42, No: 4 (1999), 293-300.

31. Ashyralyev A., Akca H., and Guray U., Second order accuracy difference scheme for approximate solutions of delay differential equations, Functional Differential Equations Vol. 6(1999), No: 3-4, 223-231.

32. Akca H., Covachev V., and Litsyn E., (eds.), Proceedings of The International Conference: Biomathematics Bioinformatics and Applications of Functional Differential Difference Equations, Antalya, July 14-19, 1999.

33. Akca H., and Covachev V., Periodic solutions of impulsive systems with periodic time-dependent perturbed delays, Proceedings of The International Conference: Biomathematics Bioinformatics and Applications of Functional Differential Difference Equations pp: 65-76, Akdeniz University, Antalya, July 14-19, 1999.

34. Ashyralyev A., and Akca H., On difference schemes for semi linear delay differential equations with constant delay, Proceedings of the Conference TSU: Actual Problems of Applied Mathematics, Physics and Eng. Ashgabat, (1999), 18-27.

35. Ashyralyev A., Akca H., and Byszewski L., On a semi linear evolution nonlocal Cauchy problem, “Some Problems of Applied Mathematics, Edited by A. Ashyralyev and H.Ali Yutrseven, Fatih University, ISBN: 975-303-003-7, 21(2000), 29-44.

36. Akca H. and Heikkila S., On impulsive linear delay differential equations in the ordered Banach spaces, Proceedings of the International conference of “Distributed Systems: Optimization and Economic-Environmental Applications” (DSO’2000), I.I.Eremin, I. Lasiecka, V.I.Maksimov, (Eds.). Publisher: Ural Branch of the Russian Academy of Sciences, Ekaterinburg, (2000), 78-85.

37. Haydar Akça, Valéry Covachev, Periodic solutions of linear impulsive systems with periodic delays in the critical case, Third International Conference on Dynamic Systems & Applications, Atlanta, Georgia, May 1999, eds. G.S. Ladde, N. G. Medhin and M. Sambandham. Proceedings of Dynamic Systems and Applications, Vol. 3 (2001), pp. 15-22.MR 2002h:34136 (MR 2002f:00017 for the collection)

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38. Covachev V., Akca H., and Yenicerioglu F., Difference approximations for impulsive differential equations, Applied Mathematics and Computation, Vol. 121, (2001), 383-390.

39. Akca H., Covachev V., Periodic solutions of linear impulsive systems with periodic delay in the critical case, Proceedings of Dynamic Systems & Applications Vol. III (2001), 15-23.

40. Ashyralyev A. and Akca H., Stability estimates of difference schemes for neutral delay differential equations, Nonlinear Analysis: Theory, Methods & Applications, 44 (2001), 443-452.

41. Akca H., and Covachev V., Delay differential equations: mathematical modelling in medicine and periodic solutions of impulsive systems with periodic delays in the critical case, Mathematics and Design 2001: The Third International Conference, Deakin University, and Geelong, (2001), 448-461.

42. Akca H., Boucherif A., Covachev V., Impulsive functional-differential equations with nonlocal conditions, International Journal of Mathematics and Mathematical Sciences, 29:5 (2002) 251-256.

43. Boucherif A., and Akca H., Nonlocal Cauchy problems for semi linear evolution equations, Dynamic System and Applications 11 (2002), 415-420.

44. Ashyralyev A., Akca H. and Yenicerioglu F., Stability properties of difference schemes for neutral differential equations, Differential Equations and Applications, Editors: Y.J., Cho, J.K., Kim and K.S. Ha, Nova Science Publishers, New York Vol. 3 (2003), 57-66.

45. Valéry Covachev, Zlatinka Covacheva, Haydar Akça, Eada Ahmed Al-Zahrani, Almost periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays, Central European Journal of Mathematics, 1 (2003), No. 3, 292-314. MR 2004f:34108.

46. H. Akça, V. Covachev and E. Al-Zahrani, On existence of solutions of semilinear impulsive functional differential equations with nonlocal conditions, Recent Advances in Operator Theory, Operator Algebras, and Their Applications, 1-11, Operator Theory Advances and Applicatons, 153, Birkhäuser, Basel, 2005.MR 2005h: 34158 (MR 2005g:00017 for the collection).

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47. Covachev V., Akça, H. and E. Ahmed Al-Zahrani, Periodic solutions of neutral impulsive systems with periodic time-dependent perturbed delays, International Journal Functional Differential Equations, Vol. 10, 3-4 (2003), 441-462.

48. V. Covachev, H. Akça, Z. Covacheva and E. Al-Zahrani, A discrete counterpart of a continuous-time additive Hopfield-type neural networks with impulses in an integral form, Conference on Differential Equations and Applications (Žilina, Slovakia, 2003), Studies of the University of Žilina Mathematical Series, 17 (2003), 11-18. MR 2005e: 39028.

49. Akca H. and Covachev V. (eds.), Abstract Book of the International Conference: 2004-Dynamical Systems and Applications, July 05 -10, 2004.

50. Haydar Akça, Rajai Alassar, Valéry Covachev, Zlatinka Covacheva and Eada Al-Zahrani, Continuous-time additive Hopfield-type neural networks with impulses, Journal of Mathematical Analysis and Applications, 290 (2004), No. 2, 436-451. MR 2004k: 34102

51. Akca H., Alassar R., Covachev V., Covacheva Z., Discrete counterparts of continuous-time additive Hopfield-type neural networks with impulses, Dynamic Systems and Applications, Vol. 13, ( 2004 ), 75-90.

52. Valéry Covachev, Haydar Akça and Yaqoub Mustafa Shebadeh, Periodic solutions of the discrete counterpart of an impulsive system with a small delay, in: 2004 - Dynamical Systems and Applications, eds. Haydar Akça, Abdelkader Boucherif, Valéry Covachev, GBS Publishers, New Delhi, 2005, pp. 282-294.

53. Haydar Akça, Rajai Alassar, Yaqoub M. Shebadeh and Valéry C. Covachev, Neural networks: Modelling with impulsive differential equations, in: 2004 - Dynamical Systems and Applications, eds. Haydar Akça, Abdelkader Boucherif, Valéry Covachev, GBS Publishers, New Delhi, 2005, pp. 32-47.

54. Akca H., Boucherif A. and Covachev V. (eds.), Proceedings of The International Conference: 2004-Dynamical Systems and Applications, July 05-10, 2004.

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55. Akca H., Rational difference equations and applications, Numerical Analysis and Optimization Days, Workshop, KFUPM, December 14, 2004, (Preprint).

56. Haydar Akça, Rajai Alassar, Valéry Covachev, H. Ali Yurtsever, Discrete-time impulsive Hopfield neural networks with finite distributed delays, International Symposium on Neural Networks and Soft Computing in Structural Engineering (Cracow, Poland, 2005), Computer Assisted Mechanics and Engineering Sciences, 14 (2007), No. 2, 145-158. MR 2008f:39003

57. Akca H., Alassar R., and V. Covachev Periodic solutions of discrete-time impulsive Hopfield neural networks with finite distributed delays, The Oriental Journal of Applied Mathematics, (submitted).

58. Akca H., Alassar R., and Covachev V. , Stability of neural networks with time varying delays in the presence of impulses, Advances in Dynamical Systems and Applications (ADSA), Volume 1 Number 1 (2006), pp. 1–15.

59. Haydar Akça, Valéry Covachev, Shebadeh Mustafa Yaqoub, Functional differential equations and applications, in: The Seventh Annual U.A.E. University Research Conference, Al-Ain, 2006, pp. SCI-167 – SCI-174.

60. Akca H., Impulsive difference equations and their applications, Proceedings of the 7th UAEU, Annual Research Conference, pp: SCI 231-SCI 246, 2006.

61. Akca H., Alassar R., and Covachev V., A Sort Tour on Approximation Theory: From Polynomials to Wavelets, Fourth UAE Math Day an Annual Celebration of Mathematics, The University of Sharjah, April 27, 2006, (Preprint).

62. Sannay M., Gopalsamy K. and Akça H., Exponential stability of artificial neural networks with distributed delays and large impulses, Nonlinear Analysis: Real World Applications Vol. 9,Issue 3, (2008), 872-888.

63. Akca H., Al-Lail M. and Covachev V., Survey on wavelet transform and application in ODE and wavelet networks, advances in dynamical systems and applications (ADSA), Volume 1, Number 2 (2006), 129-162.

64. Akca, H., and Covachev, V., Global exponential periodicity for discrete impulsive Hopfield neural networks, in The

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Seventh Annual U.A.E. University Research Conference, Al-Ain, 2008, pp. SCI-221 – SCI-235.

65. Haydar Akça, Valéry Covachev, Global exponential periodicity for impulsive Hopfield neural networks, in: The Eighth Annual U.A.E. University Research Conference, Al-Ain, 2007, pp. SCI-236 – SCI-243.

66. H. Akça, V. Covachev, Z. Covacheva, S. Mohamad, Global exponential periodicity for discrete-time Hopfield neural networks with finite distributed delays and impulses, in: Further Progress in Analysis, Proceedings of the 6th International ISAAC Congress, Ankara, Turkey, 13-18 August 2007, eds. H. G. W. Begehr, A. O. Çelebi, R. P. Gilbert, World Scientific, Singapore, 2009, pp. 635-644. MR 2010j:30001 for the collection.

67. Sannay Mohamad, Haydar Akça, Valéry Covachev, Discrete-time impulsive Cohen-Grossberg neural networks with transmission delays, in: Proceedings of the Third International Conference on Mathematical Sciences – ICM 2008, pp. 1146-1164.

68. Mirela Popa, Haydar Akca, and Virgil Breaban, Wave forces related to waves conditions and structures characteristics, Ovidius University Annals Series: Civil Engineering Volume 1, Number 10, 27-34, 2008.

69. Hernandez Henriquez, Eduardo Hernandez M., and Haydar Akca, Global solutions for an abstract Cauchy problem with nonlocal conditions, Int. J. Mathematical Manuscript Vol. No: 1 (2007), 43-53.

70. Akca H., Covachev V., Sannay M., and Kumud Singh Altmayer Artificial neural networks and Hopfield type modeling, Second Arab Conference of Biophysics & Mathematical Modeling, August 21-23, 2007.

71. Haydar Akça, Valéry Covachev and Kumud Singh Altmayer, Exponential stability of neural networks with time-varying delays and impulses, in: The Sixth International Symposium on Neural Networks (ISNN 2009), Hongwei Wang, Yi Shen, Tingwen Huang, Zhigang Zeng (Eds.),

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Advances in Intelligent and Soft Computing 56, Springer-Verlag, Berlin, Heidelberg, 2009, pp. 153-163.

72. F Cosmin, H. Akca and B. Virgil, Vulnerability and risk-Evaluation methods in civil engineering, Ovidius University Annals Series: Civil Engineering 10 (2008), 69-76.

73. Sannay Mohamad, Haydar Akça and Valéry Covachev, Discrete-time analogues of impulsive Cohen-Grossberg neural networks with transmission delays, International Journal of Mathematics and Computation, 1 (2008), No. 8, 124-143. MR 2010i:39020.

74. Akca H., On the concept of the stability of functional differential equations, proceedings of the 5th International Conference “Dynamical Systems and Applications” Ovidius University Annals Volume 1, Special Issue, 275-284, ISBN-1584-5990, 2009.

75. Akca H., V. Covachev and Zlatinka Covacheva, Almost periodic solutions of Hopfield neural networks with periodic time-dependent perturbed delays and impulses, in the Ninth Annual U. A. E. University Research Conference, April 21-23, 2008.

76. Akca H., Covachev V., Covacheva Z., and Mohamad S., Global exponential periodicity for the discrete analogue of an impulsive Hopfield neural network with finite distributed delays, Functional Differential Equations Volume 16, 2009 No 1, 53-72.

77. Haydar Akça and Valéry Covachev, Spatial discretization of an impulsive Cohen-Grossberg neural network with time-varying and distributed delays and reaction-diffusion terms, Analele ŞtiinŃifice ale UniversităŃii “Ovidius” ConstanŃa, Seria Matematică, 17 (2009), No. 3, 15-26.

78. Sannay M., Akca H. and Covachev V., Discrete-time Cohen-Grossberg Neural networks with transmission delays and impulses, Tatra Mt. Math. Publ. 43 (2009), 145-161.

79. Akca H, Berezansky, L. and Maksimov V., On tracking trajectory and control of a linear hereditary system, Functional Differential Equations, Vol. 17, No: 1-2 (2010), 1-16.

80. Akca H., Covachev V., Altmayer Kumud Singh, Numerical-analytical method for periodic solutions of the impulsive differential equations with spline functions, International

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Journal of Mathematics and Computation (IJMC), Vol. 7(2010), 7-12.

81. Xiaodi Li and Akca H., Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions, (to be appear).

82. Haydar Akça, Valéry Covachev, Zlatinka Covacheva, Impulsive Cohen-Grossberg neural networks with S-type distributed delays and reaction-diffusion terms, International Journal of Mathematics and Computation, 10 (2011), No. M11, 1-12.

83. Haydar Akça, Valéry Covachev and Zlatinka Covacheva, Almost periodic solutions of impulsive Hopfield neural networks with periodic delays, Cambridge Scientific Publishers, (2011), pp:11-22, ISBN,978-1-908106-14-8 (paperback), ISBN 978-1-908106- 18-6 (CD).

84. Akca H. and Covachev V., Impulsive Cohen-Grossberg Neural Networks with S-Type Distributed Delays, TATRA Mountains Mathematical Publications (Tatra Mt. Math. Publ.) 48(2011), 1-13.

85. Covachev V., Akca H. and Sarr Makhtar, Discrete-Time Counterparts of Impulsive Cohen-Grossberg Neural Networks of Neutral Type, Neural, Parallel and Scientific Computations 19 (2011) 345-360.

86. Xuling Wang, Xilin Fu, Haydar Akca, Xiaodi Li, Uniform stability in terms of two measures for impulsive functional differential equations with infinite delays, Universal Journal of Mathematics and Mathematical Sciences Volume 1, Number 2, 2012, Pages 119-135.

87. Akca H., Benbourenane J. and Covachev V., Impulsive Delay Reaction-Diffusion Cohen-Grossberg Neural Networks with Zero Dirichlet Boundary Conditions , Middle-East Journal of Scientific Research 13 (Mathematical Applications in Engineering): 15-24, 2013, ISSN 1990-9233, © IDOSI Publications, 2013, DOI: 10.5829/idosi.mejsr.2013.13.mae.9997

88. Haydar Akca, Valery Covachev and Zlatinka Covacheva, Improved stability estimates for impulsive reaction-diffusion Cohen-Grossberg neural networks via Hardy-Poincare inequality, Tatra Mt. Math. Publ. 54 (2013), 1–18, DOI: 10.2478/tmmp-2013-0001 .

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89. Stamova, I., Akca, H., Stamov, G., Qualitative analysis of dynamic activity patterns in neural networks, J. Appl. Math. ID 208517 (2011) doi: 10.1155/2011/208517.

90. Akca H. and Maksimov V., On tracking of a solution of parabolic variational inequalities, TWMS J. App. Eng. Math. V.2, N.2, 2012, pp. 185-194.

91. Xiaodi Li, Haydar Akca and Xilin Fu, Uniform stability of impulsive infinite delay differential equations with applications to systems with integral impulsive conditions, (Applied Mathematics and Computation Volume 219, Issue 14, 15 March 2013, Pages: 7329–7337, http://dx.doi.org/10.1016/j.amc.2012.12.033.

92. Xilin Fu, Xiaodi Li and Haydar Akca, Exponential state estimation for impulsive neural networks with time delay in the leakage term, , Arabian Journal of Mathematics- Springer, ( 2013), Volume 2, Issue 1, pp 33-49.

93. (Akca H., Benbourenane J., and Covachev V., Existence theorem for semilinear impulsive functional differential equations with nonlocal conditions, International Journal of Applied Physics and Mathematics, Vol. 3, No.3, (2013), 182-187.

94. Xiaodi Li, Donal O’Regan, Haydar Akca, Global exponential stabilization of impulsive neural networks with unbounded continuously distributed delays, The IMA Journal of Applied Mathematics, IMA , J Appl. Math (2013), doi:10.1093/imamat/hxt027 .

95. Gani Stamov, Haydar Akca and Ivanka Stamova, Uncertain Dynamical Systems: Analysis and Applications, Abstract and Applied Analysis, Volume 2013 (2013), http://dx.doi.org/10.1155/2013/863060.

96. Haydar Akca, Valery Covachev, and Zlatinka Covacheva, Discrete-Time Counterparts of Impulsive Hopfield Neural Networks with Leakage Delays, Springer Proceedings in Mathematics & Statistics Volume 47 2013, (2013) 351-358, Differential and Difference Equations with Applications Contributions from the International Conference on Differential & Difference Equations and Applications ISBN: 978-1-4614-7332-9 (Print) 978-1-4614-7333-6 (Online), http://link.springer.com/book/10.1007/978-1-4614-7333-

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6/page/2 Editors: Sandra Pinelas, Michel Chipot, Zuzana Dosla.

97. Chengyan Liua, Xiaodi Lia, Haydar Akca, Globally Exponential Stability of Impulsive Switched Systems with Continuously Distributed Delays , Universal Journal of Mathematics and Mathematical Sciences (2014, appear).

98. Akca H., Benbourenane J., Covachev V., Global Exponential Stability of Impulsive Cohen-Grossberg-Type BAM Neural Networks with Time-Varying and Distributed Delays, Universal Journal of Mathematics and Mathematical Sciences (2014), (to appear).

99. Akca, H., Covachev V., Global Asymptotic Stability of Cohen-Grossberg Neural Networks of Neutral Type, Nonlinear Oscillations ISSN 1562-3076, Springer Verlag, Vol. 17(2014) No. 1, 3-15.