Integral Inequalities and Applications

  • Drumi Bainov
  • Pavel Simeonov

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

Table of contents

  1. Front Matter
    Pages i-xi
  2. Drumi Bainov, Pavel Simeonov
    Pages 1-27
  3. Drumi Bainov, Pavel Simeonov
    Pages 29-87
  4. Drumi Bainov, Pavel Simeonov
    Pages 89-228
  5. Back Matter
    Pages 229-245

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.


DEX Equivalence Scala Volume behavior differential equation equation function functional functions integral mathematics partial differential equation stability variable

Authors and affiliations

  • Drumi Bainov
    • 1
  • Pavel Simeonov
    • 2
  1. 1.Academy of MedicineSofiaBulgaria
  2. 2.Plovdiv UniversityPlovdivBulgaria

Bibliographic information

  • DOI
  • Copyright Information Springer Science+Business Media B.V. 1992
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4154-8
  • Online ISBN 978-94-015-8034-2
  • Series Print ISSN 0169-507X
  • Buy this book on publisher's site