Opial Inequalities with Applications in Differential and Difference Equations / Edition 1

by R.P. Agarwal, P.Y. Pang

Overview

In 1960 the Polish mathematician Zdzidlaw Opial (1930—1974) published an inequality involving integrals of a function and its derivative. This volume offers a systematic and up-to-date account of developments in Opial-type inequalities. The book presents a complete survey of results in the field, starting with Opial's landmark paper, traversing through its generalizations, extensions and discretizations. Some of the important applications of these inequalities in the theory of differential and difference equations, such as uniqueness of solutions of boundary value problems, and upper bounds of solutions are also presented.
This book is suitable for graduate students and researchers in mathematical analysis and applications.

Product Details

ISBN-13:	9789048145249
Publisher:	Springer Netherlands
Publication date:	12/07/2010
Series:	Mathematics and Its Applications , #320
Edition description:	Softcover reprint of hardcover 1st ed. 1995
Pages:	398
Product dimensions:	6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

1 Opial’s Inequality.- 2 Generalizations of Opial’s Inequality.- 3 Opial Inequalities Involving Higher Order Derivatives.- 4 Opial Inequalities in Several Independent Variables.- 5 Discrete Opial Inequalities.- 6 Applications.- Name Index.