ler totalmente Integral Equations: Introduction To Basic Concepts, Ordinary Differential Equations

Specific Objectives of this book Many physical problems that are usually solved by differential equation methods can be solved more effectively by integral equation methods. This book will help students gain insight into the application of advanced mathematics and guide them through derivation of appropriate integral equations governing the behaviour of several standard physical problems

Course Outline: Linear integral equations of the first and second kind, relationship between differential equation and Volterra integral equation, Neumann series, Fredholm integral equation of the second kind with separable kernels, eigenvalues and eigenvectors, iterated functions, quadrature methods, least square methods, homogeneous integral equations of the second kind, Fredholm integral equations of the first kind, Fredholm integral equations of the second kind, Abel’s integral equations, Hilbert Schmidt theory of integral equations with symmetric kernels, regularization and filtering techniques.

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