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Opial Inequalities with Applications in Differential and Difference Equations

  • Book
  • © 1995

Overview

Authors:
  1. Ravi P. Agarwal

    1. Department of Mathematics, National University of Singapore, Kent Ridge, Singapore

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    You can also search for this author in PubMed   Google Scholar

  2. Peter Y. H. Pang

    1. Department of Mathematics, National University of Singapore, Kent Ridge, Singapore

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 320)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-x
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  2. Opial’s Inequality

    • Ravi P. Agarwal, Peter Y. H. Pang
    Pages 1-10

  3. Generalizations of Opial’s Inequality

    • Ravi P. Agarwal, Peter Y. H. Pang
    Pages 11-127

  4. Opial Inequalities Involving Higher Order Derivatives

    • Ravi P. Agarwal, Peter Y. H. Pang
    Pages 128-207

  5. Opial Inequalities in Several Independent Variables

    • Ravi P. Agarwal, Peter Y. H. Pang
    Pages 208-282

  6. Discrete Opial Inequalities

    • Ravi P. Agarwal, Peter Y. H. Pang
    Pages 283-355

  7. Applications

    • Ravi P. Agarwal, Peter Y. H. Pang
    Pages 356-389

  8. Back Matter

    Pages 390-398
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Keywords

About this book

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.

Authors and Affiliations

  • Department of Mathematics, National University of Singapore, Kent Ridge, Singapore

    Ravi P. Agarwal, Peter Y. H. Pang

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