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＜電子ブック＞
Opial Inequalities with Applications in Differential and Difference Equations / by R.P. Agarwal, P.Y. Pang
(Mathematics and Its Applications ; 320)

版	1st ed. 1995.
出版者	(Dordrecht : Springer Netherlands : Imprint: Springer)
出版年	1995
本文言語	英語
大きさ	X, 398 p : online resource
著者標目	*Agarwal, R.P author Pang, P.Y author SpringerLink (Online service)
件　名	LCSH:Functions of real variables LCSH:Differential equations LCSH:Difference equations LCSH:Functional equations FREE:Real Functions FREE:Differential Equations FREE:Difference and Functional Equations
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-94-015-8426-5

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