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Opial Inequalities with Applications in Differential and Difference Equations

Paperback Engels 2010 9789048145249
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Samenvatting

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.

Specificaties

ISBN13:9789048145249
Taal:Engels
Bindwijze:paperback
Aantal pagina's:398
Uitgever:Springer Netherlands

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Inhoudsopgave

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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          Opial Inequalities with Applications in Differential and Difference Equations