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Integral Inequalities and Applications

  • Book
  • © 1992

Overview

Authors:
  1. Drumi Bainov

    1. Academy of Medicine, Sofia, Bulgaria

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    You can also search for this author in PubMed   Google Scholar

  2. Pavel Simeonov

    1. Plovdiv University, Plovdiv, Bulgaria

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    You can also search for this author in PubMed   Google Scholar

Part of the book series: Mathematics and its Applications (MAEE, volume 57)

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Table of contents (3 chapters)

  1. Front Matter

    Pages i-xi
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  2. Scalar linear integral inequalities

    • Drumi Bainov, Pavel Simeonov
    Pages 1-27

  3. Scalar nonlinear integral inequalities

    • Drumi Bainov, Pavel Simeonov
    Pages 29-87

  4. Analogues of Gronwall’s inequality

    • Drumi Bainov, Pavel Simeonov
    Pages 89-228

  5. Back Matter

    Pages 229-245
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Keywords

About this book

This volume is devoted to integral inequalities of the Gronwall-Bellman-Bihari type. Following a systematic exposition of linear and nonlinear inequalities, attention is paid to analogues including integro-differential inequalities, functional differential inequalities, and discrete and abstract analogues. Applications to the investigation of the properties of solutions of various classes of equations such as uniqueness, stability, dichotomy, asymptotic equivalence and behaviour is also discussed.
The book comprises three chapters. Chapter I and II consider classical linear and nonlinear integral inequalities. Chapter III is devoted to various classes of integral inequalities of Gronwall type, and their analogues, which find applications in the theory of integro-differential equations, partial differential equations, differential equations with deviating argument, impube differential equations, etc. Each chapter concludes with a section illustrating the manner of application. The book also contains an extensive bibliography.
For researchers whose work involves the theory and application of integral inequalities in mathematics, engineering and physics.

Authors and Affiliations

  • Academy of Medicine, Sofia, Bulgaria

    Drumi Bainov

  • Plovdiv University, Plovdiv, Bulgaria

    Pavel Simeonov

Bibliographic Information

  • Book Title: Integral Inequalities and Applications

  • Authors: Drumi Bainov, Pavel Simeonov

  • Series Title: Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-94-015-8034-2

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 1992

  • Hardcover ISBN: 978-0-7923-1714-2Published: 31 May 1992

  • Softcover ISBN: 978-90-481-4154-8Published: 07 December 2010

  • eBook ISBN: 978-94-015-8034-2Published: 18 April 2013

  • Series ISSN: 0169-507X

  • Edition Number: 1

  • Number of Pages: XI, 245

  • Topics: Real Functions, Integral Equations, Partial Differential Equations

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