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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.
Autor: Agarwal, R.P. Pang, P.Y.
ISBN: 9780792333654
Sprache: Englisch
Seitenzahl: 398
Produktart: Gebunden
Verlag: Springer Netherland
Veröffentlicht: 31.01.1995
Schlagworte: Boundary value problem DEX Mathematica Volume derivative development difference equation equality equation field

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