Integral inequalities and applications
著者
書誌事項
Integral inequalities and applications
(Mathematics and its applications, . East European series ; v. 57)
Kluwer Academic Publishers, c1992
大学図書館所蔵 全31件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Bibliography: p. 229-241
内容説明・目次
内容説明
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.
目次
Preface. Notation. I: Scalar Linear Integral Inequalities. 1. Gronwall-Type Inequalities. 2. Inequalities of the Type of Chu and Metcalf. 3. Applications I: Notes and Comments. II: Scalar Nonlinear Integral Inequalities. 4. Integral Inequalities Investigated by Nonstandard Methods. 5. Bihari-Type Inequalities. 6. Comparison Results. 7. Lakshmikantham's Comparison Method. 8. Inequalities of the Type of Deo and Dhongade. 9. Applications. II: Notes and Comments. III: Analogues of Gronwall's Inequality. 10. Integral Inequalities Involving Several Integrals. 11. Integral Inequalities with Iterated Integrals. 12. Integral Inequalities with Iterated Integrals. 12. Integral Inequalities for Functions of N Variables. 13. Integro-Differential Inequalities. 14. Integral Inequalities with Delay. 15. Discrete Inequalities. 16. Impulse Integral Inequalities. 17. Inequalities Involving Stieltjes Integrals. 18. Systems of Integral Inequalities. 19. Inequalities in Partially Ordered Spaces. 20. Applications. III: Notes and Comments. Bibliography. Index (of Authors). Index.
「Nielsen BookData」 より