Integral Inequalities and Applications

Author:   D.D. Bainov ,  P.S Simeonov
Publisher:   Springer
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   57
ISBN:  

9789048141548


Pages:   245
Publication Date:   07 December 2010
Format:   Paperback
Availability:   Out of stock   Availability explained
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Integral Inequalities and Applications


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Overview

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.

Full Product Details

Author:   D.D. Bainov ,  P.S Simeonov
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of the original 1st ed. 1992
Volume:   57
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.454kg
ISBN:  

9789048141548


ISBN 10:   9048141540
Pages:   245
Publication Date:   07 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock   Availability explained
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

Scalar linear integral inequalities.- Scalar nonlinear integral inequalities.- Analogues of Gronwall’s inequality.

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