DR. KAMLESH BISHT - UOU values... · 2020. 6. 30. · Find the eigenvalues and eigenfunctions of...
Transcript of DR. KAMLESH BISHT - UOU values... · 2020. 6. 30. · Find the eigenvalues and eigenfunctions of...
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BOOK: Differential Equation, Calculus of Variations and Special Functions
UNIT – VI : Eigen values, Eigen functions and Sturm-Liouville boundary value problem
Dr. Kamlesh
Bisht
(Mathematics)
DR. KAMLESH BISHT
Academic ConsultantDepartment of Mathematics
Uttarakhand Open University, Haldwani
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Content
� Objective.
� Introduction.
� Linear Homogeneous Boundary Value Problems.
Dr. Kamlesh Bisht(Mathematics)
� Linear Homogeneous Boundary Value Problems.
� Eigenvalues and eigenfunction.
� Sturm-Liouville problems.
� Orthogonality of eigenfunctions.
� References.
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Objectives
After studying this unit, you should be able to-
� Get the basic knowledge of eigenvalue and eigenfunction
of the boundary value problem.
Dr. Kamlesh Bisht(Mathematics)
of the boundary value problem.
� Study special boundary value problem known as Sturm-
Louville problem and properties of eigenfunction.
� Get the knowledge about various special function that
arises in physical and engineering problems.
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Introduction
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Linear Homogeneous Boundary Value Problems
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Eigen values and Eigen functions
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Eigen value or Characteristic value
Eigen function or Characteristic function
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Sturm-Liouville Problem
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Orthogonality of Eigenfunctions
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Theorems on Sturm-Liouville systems
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References:
� Advanced Differential Equation
M.D. Raisinghania, S. Chand Publication
SLM of VMOU, Kota � SLM of VMOU, Kota
Differential Equation, Calculus of Variation and Special Functions.
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Mob. No.-8279829875
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