Integral Equations on Time Scales

Authors: Svetlin G. Georgiev



First book on time scale calculus

Pedagogical organization helps the reader to learn quickly

Analytical and numerical methods are covered

This book offers the reader an overview of recent developments of integral equations on time scales. It also contains elegant analytical and numerical methods. This book is primarily intended for senior undergraduate students and beginning graduate students of engineering and science courses. The students in mathematical and physical sciences will find many sections of direct relevance. The book contains nine chapters and each chapter is pedagogically organized. This book is specially designed for those who wish to understand integral equations on time scales without having extensive mathematical background.

Table of contents

Front Matter
Pages i-ix

Elements of the Time Scale Calculus
Pages 1-75

Introductory Concepts of Integral Equations on Time Scales
Pages 77-129

Generalized Volterra Integral Equations
Pages 131-195

Generalized Volterra Integro-Differential Equations
Pages 197-225

Generalized Fredholm Integral Equations
Pages 227-299

Hilbert-Schmidt Theory of Generalized Integral Equations with Symmetric Kernels
Pages 301-319

The Laplace Transform Method
Pages 321-373

The Series Solution Method
Pages 375-393

Non-linear Generalized Integral Equations
Pages 395-397

Back Matter
Pages 399-402

原版 PDF + EPUB: