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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
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.
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.
Introduction
Linear Homogeneous Boundary Value Problems
Eigen values and Eigen functions
Eigen value or Characteristic value
Eigen function or Characteristic function
Sturm-Liouville Problem
Orthogonality of Eigenfunctions
Theorems on Sturm-Liouville systems
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.
STAY HOME AND STAY SAFESTAY HOME AND STAY SAFESTAY HOME AND STAY SAFESTAY HOME AND STAY SAFE
# COVID-19
Dr. Kamlesh Bisht(Mathematics)
Mob. No.-8279829875
THANKS