Integral Equations And Boundary Value Problems

Integral Equations And Boundary Value Problems by Dr. M. D. Raisinghania

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Book Summary:

Strictly according to the latest syllabus of U.G.C.for Degree level students and for various engineering and professional examinations such as GATE, C.S.I.R NET/JRFand SLET etc. For M.A./M.Sc (Mathematics) also.

Audience of the Book :

This book Useful for GATE, C.S.I.R NET/JRFand SLET etc. For M.A./M.Sc (Mathematics) also.

Key Features :

• Inclusion of two new topics - Fourier Integral Theorem and Dirac Delta Function

• Latest solved questions of UGC-NET and GATE examinations at the end of the book

• Has been designed for Postgraduate students of various Indian Universities and also useful for aspirants of various competitive examinations

Table of Contents:

• Preliminary Concepts

• Conversion of Ordinary Differential Equations into Integral Equations

• Homogeneous Fredholm Integral Equations of the Second kind with Separable (or Degenerate) Kernels

• Fredholm Integral Equations with Separable (or Degenerate) Kernels

• Method of Successive Approximations

• Classical Fredholm Theory

• Integral Equations with Symmetric Kernels

• Singular Integral Equations

• Integral Transform Method

• Self Adjoint Operator, Dirac Delta Function and Spherical Hormonics

• Applications of Integral Equations and Green'S Functions to Ordinary Differential Equations

• Applications of Integral Equations to Partial Differential Equations

• Additional Results on Green'S Function and its Applications

• Applications of Integral Equations to Mixed Boundary Value Problem

• Integral Equation Perturbation Techniques