Opial Inequalities With Application In Differential And Difference Equations
Ravi P. Agarwal, Peter Y. H. Pang, P. y. PangBooks.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Synopsis
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.
Booknews
Traces developments in Opial type inequalities since 1960 when Polish mathematician Zdzidlaw Opial introduced the first, involving integrals of a function and its derivative. Begins with Opial's paper and the almost immediate generalization and simplification of his inequality, then shows how the fundamentals were expanded to higher order derivatives and independent variables, and the development of discrete Opial inequalities. Also surveys their application to the uniqueness of initial and boundary value problems, and the upper bounds of solutions. Of interest to graduate students and researchers in mathematical analysis and applications. No subject index. Annotation c. Book News, Inc., Portland, OR (booknews.com)