Integral Inequalities and Applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
1992
|
| Series: | Mathematics and Its Applications, East European Series
57 |
| Subjects: | |
| Online Access: | Volltext |
| Item 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 |
| Physical Description: | 1 Online-Ressource (XI, 245 p) |
| ISBN: | 9789401580342 9789048141548 |
| ISSN: | 0169-507X |
| DOI: | 10.1007/978-94-015-8034-2 |
Staff View
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| id | DE-604.BV042424036 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401580342 9789048141548 |
| issn | 0169-507X |
| language | English |
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| publisher | Springer Netherlands |
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| series2 | Mathematics and Its Applications, East European Series |
| spelling | Bainov, Drumi Verfasser aut Integral Inequalities and Applications by Drumi Bainov, Pavel Simeonov Dordrecht Springer Netherlands 1992 1 Online-Ressource (XI, 245 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications, East European Series 57 0169-507X 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 Mathematics Integral equations Differential equations, partial Real Functions Integral Equations Partial Differential Equations Mathematik Integralungleichung (DE-588)4161917-1 gnd rswk-swf Integralungleichung (DE-588)4161917-1 s 1\p DE-604 Simeonov, Pavel Sonstige oth https://doi.org/10.1007/978-94-015-8034-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bainov, Drumi Integral Inequalities and Applications Mathematics Integral equations Differential equations, partial Real Functions Integral Equations Partial Differential Equations Mathematik Integralungleichung (DE-588)4161917-1 gnd |
| subject_GND | (DE-588)4161917-1 |
| title | Integral Inequalities and Applications |
| title_auth | Integral Inequalities and Applications |
| title_exact_search | Integral Inequalities and Applications |
| title_full | Integral Inequalities and Applications by Drumi Bainov, Pavel Simeonov |
| title_fullStr | Integral Inequalities and Applications by Drumi Bainov, Pavel Simeonov |
| title_full_unstemmed | Integral Inequalities and Applications by Drumi Bainov, Pavel Simeonov |
| title_short | Integral Inequalities and Applications |
| title_sort | integral inequalities and applications |
| topic | Mathematics Integral equations Differential equations, partial Real Functions Integral Equations Partial Differential Equations Mathematik Integralungleichung (DE-588)4161917-1 gnd |
| topic_facet | Mathematics Integral equations Differential equations, partial Real Functions Integral Equations Partial Differential Equations Mathematik Integralungleichung |
| url | https://doi.org/10.1007/978-94-015-8034-2 |
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