Infinite Interval Problems for Differential, Difference and Integral Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2001
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature |
| Beschreibung: | 1 Online-Ressource (X, 341 p) |
| ISBN: | 9789401007184 9789401038348 |
| DOI: | 10.1007/978-94-010-0718-4 |
Internformat
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| 500 | |a Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature | ||
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Agarwal, Ravi P. |
| author_facet | Agarwal, Ravi P. |
| author_role | aut |
| author_sort | Agarwal, Ravi P. |
| author_variant | r p a rp rpa |
| building | Verbundindex |
| bvnumber | BV042423789 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-010-0718-4 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401007184 9789401038348 |
| language | English |
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| spelling | Agarwal, Ravi P. Verfasser aut Infinite Interval Problems for Differential, Difference and Integral Equations by Ravi P. Agarwal, Donal O’Regan Dordrecht Springer Netherlands 2001 1 Online-Ressource (X, 341 p) txt rdacontent c rdamedia cr rdacarrier Infinite interval problems abound in nature and yet until now there has been no book dealing with such problems. The main reason for this seems to be that until the 1970's for the infinite interval problem all the theoretical results available required rather technical hypotheses and were applicable only to narrowly defined classes of problems. Thus scientists mainly offer~d and used special devices to construct the numerical solution assuming tacitly the existence of a solution. In recent years a mixture of classical analysis and modern fixed point theory has been employed to study the existence of solutions to infinite interval problems. This has resulted in widely applicable results. This monograph is a cumulation mainly of the authors' research over a period of more than ten years and offers easily verifiable existence criteria for differential, difference and integral equations over the infinite interval. An important feature of this monograph is that we illustrate almost all the results with examples. The plan of this monograph is as follows. In Chapter 1 we present the existence theory for second order boundary value problems on infinite intervals. We begin with several examples which model real world phenom ena. A brief history of the infinite interval problem is also included. We then present general existence results for several different types of boundary value problems. Here we note that for the infinite interval problem only two major approaches are available in the literature Mathematics Functional equations Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Difference and Functional Equations Operator Theory Mathematik Unendliches Intervall (DE-588)4758108-6 gnd rswk-swf Existenzsatz (DE-588)4297175-5 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Integralgleichung (DE-588)4027229-1 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s Unendliches Intervall (DE-588)4758108-6 s Existenzsatz (DE-588)4297175-5 s 1\p DE-604 Differenzengleichung (DE-588)4012264-5 s 2\p DE-604 Differentialgleichung (DE-588)4012249-9 s 3\p DE-604 O’Regan, Donal Sonstige oth https://doi.org/10.1007/978-94-010-0718-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Agarwal, Ravi P. Infinite Interval Problems for Differential, Difference and Integral Equations Mathematics Functional equations Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Difference and Functional Equations Operator Theory Mathematik Unendliches Intervall (DE-588)4758108-6 gnd Existenzsatz (DE-588)4297175-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4758108-6 (DE-588)4297175-5 (DE-588)4012249-9 (DE-588)4012264-5 (DE-588)4027229-1 |
| title | Infinite Interval Problems for Differential, Difference and Integral Equations |
| title_auth | Infinite Interval Problems for Differential, Difference and Integral Equations |
| title_exact_search | Infinite Interval Problems for Differential, Difference and Integral Equations |
| title_full | Infinite Interval Problems for Differential, Difference and Integral Equations by Ravi P. Agarwal, Donal O’Regan |
| title_fullStr | Infinite Interval Problems for Differential, Difference and Integral Equations by Ravi P. Agarwal, Donal O’Regan |
| title_full_unstemmed | Infinite Interval Problems for Differential, Difference and Integral Equations by Ravi P. Agarwal, Donal O’Regan |
| title_short | Infinite Interval Problems for Differential, Difference and Integral Equations |
| title_sort | infinite interval problems for differential difference and integral equations |
| topic | Mathematics Functional equations Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Difference and Functional Equations Operator Theory Mathematik Unendliches Intervall (DE-588)4758108-6 gnd Existenzsatz (DE-588)4297175-5 gnd Differentialgleichung (DE-588)4012249-9 gnd Differenzengleichung (DE-588)4012264-5 gnd Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Mathematics Functional equations Integral equations Operator theory Differential Equations Ordinary Differential Equations Integral Equations Difference and Functional Equations Operator Theory Mathematik Unendliches Intervall Existenzsatz Differentialgleichung Differenzengleichung Integralgleichung |
| url | https://doi.org/10.1007/978-94-010-0718-4 |
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