Theory and Applications of Convolution Integral Equations / Edition 1

by Hari M. Srivastava, R.G. Buschman

Overview

This volume presents a state-of-the-art account of the theory and applications of integral equations of convolution type, and of certain classes of integro-differential and non-linear integral equations. An extensive and well-motivated discussion of some open questions and of various important directions for further research is also presented. The book has been written so as to be self-contained, and includes a list of symbols with their definitions.
For users of convolution integral equations, the volume contains numerous, well-classified inversion tables which correspond to the various convolutions and intervals of integration. It also has an extensive, up-to-date bibliography. The convolution integral equations which are considered arise naturally from a large variety of physical situations and it is felt that the types of solutions discussed will be usefull in many diverse disciplines of applied mathematics and mathematical physical.
For researchers and graduate students in the mathematical and physical sciences whose work involves the solution of integral equations.

Product Details

ISBN-13:	9789048141852
Publisher:	Springer Netherlands
Publication date:	12/08/2010
Series:	Mathematics and Its Applications , #79
Edition description:	Softcover reprint of hardcover 1st ed. 1992
Pages:	240
Product dimensions:	6.30(w) x 9.45(h) x 0.02(d)

Table of Contents

1. Preliminaries on Special Function Kernels.- 2. Basic Properties and Theorems.- 3. Methods and Illustrative Examples.- 4. Miscellaneous Results and Open Questions.- 5. Equations of the Second and other Kinds.- 6. Convolutions over other Intervals.- Appendix. List of Symbols.- Inversion Tables. Index.- Author Index.