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Field name	Details
Dewey Class	515.8
Title	Integral Inequalities and Applications ([EBook] /) / by Drumi Bainov, Pavel Simeonov.
Author	Bainov, Drumi
Added Personal Name	Simeonov, Pavel author.
Other name(s)	SpringerLink (Online service)
Publication	Dordrecht : : Springer Netherlands : : Imprint: Springer, , 1992.
Physical Details	XI, 245 p. : online resource.
Series	Mathematics and its applications. East European series 0169-507X ; ; 57
ISBN	9789401580342
Summary Note	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.:
Contents note	Scalar linear integral inequalities -- Scalar nonlinear integral inequalities -- Analogues of Gronwall’s inequality.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-94-015-8034-2
Links to Related Works	Subject References: Functions of real variables . Integral Equations . Mathematics . Partial differential equations . Real Functions . Authors: Bainov, Drumi . Simeonov, Pavel . Corporate Authors: SpringerLink (Online service) . Series: Mathematics and its applications. East European series . Classification: 515.8 .

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Integral Inequalities and Applications

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