
Integral Inequalities and Applications
Springer (Publisher)
Published on 7. December 2010
Book
Paperback/Softback
XI, 245 pages
978-90-481-4154-8 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1992
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
XI, 245 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 15 mm
Weight
400 gr
ISBN-13
978-90-481-4154-8 (9789048141548)
DOI
10.1007/978-94-015-8034-2
Schweitzer Classification
Other editions
Additional editions

D.D. Bainov | P.S Simeonov
Integral Inequalities and Applications
Book
05/1992
Kluwer Academic Publishers
€213.99
Shipment within 15-20 days
Content
Scalar linear integral inequalities.- Scalar nonlinear integral inequalities.- Analogues of Gronwall's inequality.