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Integral Inequalities and Applications / by D.D. Bainov, P.S Simeonov
(Mathematics and its Applications, East European Series ; 57)
版 | 1st ed. 1992. |
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出版者 | (Dordrecht : Springer Netherlands : Imprint: Springer) |
出版年 | 1992 |
本文言語 | 英語 |
大きさ | XI, 245 p : online resource |
著者標目 | *Bainov, D.D author Simeonov, P.S author SpringerLink (Online service) |
件 名 | LCSH:Functions of real variables LCSH:Integral equations LCSH:Differential equations FREE:Real Functions FREE:Integral Equations FREE:Differential Equations |
一般注記 | Scalar linear integral inequalities -- Scalar nonlinear integral inequalities -- Analogues of Gronwall’s inequality 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 HTTP:URL=https://doi.org/10.1007/978-94-015-8034-2 |
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電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789401580342 |
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EB00232311 |
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