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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.
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.
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Table of contents (3 chapters)
Authors and Affiliations
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
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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