Integral Equations (& Boundary Value Problems) by Shanti Swarup
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Overview: CONTENTS- INTEGRAL EQUATIONS,
Chapter-1: Basic Concepts
1.1 Integral Equation
1.2 Differentiation of a Function Under an Integral Sign
1.3 Relation Between Differential and Integral Equations
Chapter-2: Solution of Integral Equations
2.1 Solution of Nonhomogeneous Volterra’s Integral Equation of Second kind by the Method of Successive Substitution
2.5 Solution of the Fredholm Integral Equation by the Method of Successive Substitutions
2.6 Iterated Kernels
2.7 Solution of the Fredholm Integral Equation by the Method of Successive Approximation
2.8 Reciprocal Functions
2.9 Volterra’s Solution of Fredholm’s Equation
Chapter-3: Fredholm Integral Equations
3.1 Fredholm First Theorem
3.2 Prove that the solution
3.3 Every Zero of Fredholm Function D(l) is a Pole of the Resolvent Kernel
Genre: Non-Fiction > Educational
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