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Opial Inequalities with Applications in Differential and Difference Equations

Opial Inequalities with Applications in Differential and Difference Equations
Catalogue Information
Field name Details
Dewey Class 515.8
Title Opial Inequalities with Applications in Differential and Difference Equations ([EBook] /) / by Ravi P. Agarwal, Peter Y. H. Pang.
Author Agarwal, Ravi P.
Added Personal Name Pang, Peter Y. H. author.
Other name(s) SpringerLink (Online service)
Publication Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1995.
Physical Details X, 398 p. : online resource.
Series Mathematics and its applications ; 320
ISBN 9789401584265
Summary Note 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.:
Contents note 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.
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site http://dx.doi.org/10.1007/978-94-015-8426-5
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