Singular Differential and Integral Equations with Applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2003
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| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In the last century many problems which arose in the science, engineering and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general existence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular problem under investigation. However in the 1990's new results in inequality and fixed point theory were used to present a very general existence theory for singular problems. This monograph presents an up to date account of the literature on singular problems. One of our aims also is to present recent theory on singular differential and integral equations to a new and wider audience. The book presents a compact, thorough, and self-contained account for singular problems. An important feature of this book is that we illustrate how easily the theory can be applied to discuss many real world examples of current interest. In Chapter 1 we study differential equations which are singular in the independent variable. We begin with some standard notation in Section 1. 2 and introduce LP-Caratheodory functions. Some fixed point theorems, the Arzela-Ascoli theorem and Banach's theorem are also stated here |
| Beschreibung: | 1 Online-Ressource (XII, 402 p) |
| ISBN: | 9789401730044 9789048163564 |
| DOI: | 10.1007/978-94-017-3004-4 |
Internformat
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| 500 | |a In the last century many problems which arose in the science, engineering and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general existence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular problem under investigation. However in the 1990's new results in inequality and fixed point theory were used to present a very general existence theory for singular problems. This monograph presents an up to date account of the literature on singular problems. One of our aims also is to present recent theory on singular differential and integral equations to a new and wider audience. The book presents a compact, thorough, and self-contained account for singular problems. An important feature of this book is that we illustrate how easily the theory can be applied to discuss many real world examples of current interest. In Chapter 1 we study differential equations which are singular in the independent variable. We begin with some standard notation in Section 1. 2 and introduce LP-Caratheodory functions. Some fixed point theorems, the Arzela-Ascoli theorem and Banach's theorem are also stated here | ||
| 650 | 4 | |a Mathematics | |
| 650 | 4 | |a Functional analysis | |
| 650 | 4 | |a Integral equations | |
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| 650 | 4 | |a Ordinary Differential Equations | |
| 650 | 4 | |a Integral Equations | |
| 650 | 4 | |a Functional Analysis | |
| 650 | 4 | |a Operator Theory | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Agarwal, Ravi P. |
| author_facet | Agarwal, Ravi P. |
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| author_sort | Agarwal, Ravi P. |
| author_variant | r p a rp rpa |
| building | Verbundindex |
| bvnumber | BV042424309 |
| classification_tum | MAT 000 |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.352 |
| dewey-search | 515.352 |
| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-017-3004-4 |
| format | Electronic eBook |
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| id | DE-604.BV042424309 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401730044 9789048163564 |
| language | English |
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| spelling | Agarwal, Ravi P. Verfasser aut Singular Differential and Integral Equations with Applications by Ravi P. Agarwal, Donal O'Regan Dordrecht Springer Netherlands 2003 1 Online-Ressource (XII, 402 p) txt rdacontent c rdamedia cr rdacarrier In the last century many problems which arose in the science, engineering and technology literature involved nonlinear complex phenomena. In many situations these natural phenomena give rise to (i). ordinary differential equations which are singular in the independent and/or dependent variables together with initial and boundary conditions, and (ii). Volterra and Fredholm type integral equations. As one might expect general existence results were difficult to establish for the problems which arose. Indeed until the early 1990's only very special examples were examined and these examples were usually tackled using some special device, which was usually only applicable to the particular problem under investigation. However in the 1990's new results in inequality and fixed point theory were used to present a very general existence theory for singular problems. This monograph presents an up to date account of the literature on singular problems. One of our aims also is to present recent theory on singular differential and integral equations to a new and wider audience. The book presents a compact, thorough, and self-contained account for singular problems. An important feature of this book is that we illustrate how easily the theory can be applied to discuss many real world examples of current interest. In Chapter 1 we study differential equations which are singular in the independent variable. We begin with some standard notation in Section 1. 2 and introduce LP-Caratheodory functions. Some fixed point theorems, the Arzela-Ascoli theorem and Banach's theorem are also stated here Mathematics Functional analysis Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf Volterra-Integralgleichung (DE-588)4234593-5 gnd rswk-swf Fredholm-Integralgleichung (DE-588)4155261-1 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Fredholm-Integralgleichung (DE-588)4155261-1 s Volterra-Integralgleichung (DE-588)4234593-5 s 1\p DE-604 O'Regan, Donal Sonstige oth https://doi.org/10.1007/978-94-017-3004-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Agarwal, Ravi P. Singular Differential and Integral Equations with Applications Mathematics Functional analysis Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Volterra-Integralgleichung (DE-588)4234593-5 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| subject_GND | (DE-588)4020929-5 (DE-588)4234593-5 (DE-588)4155261-1 |
| title | Singular Differential and Integral Equations with Applications |
| title_auth | Singular Differential and Integral Equations with Applications |
| title_exact_search | Singular Differential and Integral Equations with Applications |
| title_full | Singular Differential and Integral Equations with Applications by Ravi P. Agarwal, Donal O'Regan |
| title_fullStr | Singular Differential and Integral Equations with Applications by Ravi P. Agarwal, Donal O'Regan |
| title_full_unstemmed | Singular Differential and Integral Equations with Applications by Ravi P. Agarwal, Donal O'Regan |
| title_short | Singular Differential and Integral Equations with Applications |
| title_sort | singular differential and integral equations with applications |
| topic | Mathematics Functional analysis Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd Volterra-Integralgleichung (DE-588)4234593-5 gnd Fredholm-Integralgleichung (DE-588)4155261-1 gnd |
| topic_facet | Mathematics Functional analysis Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Functional Analysis Operator Theory Applications of Mathematics Mathematik Gewöhnliche Differentialgleichung Volterra-Integralgleichung Fredholm-Integralgleichung |
| url | https://doi.org/10.1007/978-94-017-3004-4 |
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