Opial Inequalities with Applications in Differential and Difference Equations: 320 - Brossura

Agarwal, R.P.; Pang, P.Y.

 
9789048145249: Opial Inequalities with Applications in Differential and Difference Equations: 320

Sinossi

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.

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Contenuti

Preface. 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.

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Altre edizioni note dello stesso titolo

9780792333654: Opial Inequalities with Applications in Differential and Difference Equations: 320

Edizione in evidenza

ISBN 10:  0792333659 ISBN 13:  9780792333654
Casa editrice: Springer-Verlag GmbH, 1995
Rilegato