Two-point boundary value problems: lower and upper solutions
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
Elsivier
c2006
|
| Ausgabe: | 1st ed |
| Schriftenreihe: | Mathematics in science and engineering
v. 205 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. Presents the fundamental features of the method Construction of lower and upper solutions in problems Working applications and illustrated theorems by examples Description of the history of the method and Bibliographical notes Includes bibliographical references (p. 463-487) and index |
| Beschreibung: | 1 Online-Ressource (x, 489 p.) |
| ISBN: | 9780444522009 044452200X 0080462472 9780080462479 |
Internformat
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| 490 | 0 | |a Mathematics in science and engineering |v v. 205 | |
| 500 | |a This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. Presents the fundamental features of the method Construction of lower and upper solutions in problems Working applications and illustrated theorems by examples Description of the history of the method and Bibliographical notes | ||
| 500 | |a Includes bibliographical references (p. 463-487) and index | ||
| 650 | 7 | |a MATHEMATICS / Differential Equations / General |2 bisacsh | |
| 650 | 7 | |a Boundary value problems |2 fast | |
| 650 | 7 | |a Functional differential equations |2 fast | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Functional differential equations | |
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Datensatz im Suchindex
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| any_adam_object | |
| author | De Coster, Colette |
| author_GND | (DE-588)1051479770 |
| author_facet | De Coster, Colette |
| author_role | aut |
| author_sort | De Coster, Colette |
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| building | Verbundindex |
| bvnumber | BV042317299 |
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| dewey-full | 515/.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.35 |
| dewey-search | 515/.35 |
| dewey-sort | 3515 235 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV042317299 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:18:16Z |
| institution | BVB |
| isbn | 9780444522009 044452200X 0080462472 9780080462479 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027754289 |
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| owner | DE-1046 |
| owner_facet | DE-1046 |
| physical | 1 Online-Ressource (x, 489 p.) |
| psigel | ZDB-33-ESD ZDB-33-EBS FAW_PDA_ESD FLA_PDA_ESD |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Elsivier |
| record_format | marc |
| series2 | Mathematics in science and engineering |
| spelling | De Coster, Colette Verfasser aut Two-point boundary value problems lower and upper solutions Colette De Coster, Patrick Habets 1st ed Amsterdam Elsivier c2006 1 Online-Ressource (x, 489 p.) txt rdacontent c rdamedia cr rdacarrier Mathematics in science and engineering v. 205 This book introduces the method of lower and upper solutions for ordinary differential equations. This method is known to be both easy and powerful to solve second order boundary value problems. Besides an extensive introduction to the method, the first half of the book describes some recent and more involved results on this subject. These concern the combined use of the method with degree theory, with variational methods and positive operators. The second half of the book concerns applications. This part exemplifies the method and provides the reader with a fairly large introduction to the problematic of boundary value problems. Although the book concerns mainly ordinary differential equations, some attention is given to other settings such as partial differential equations or functional differential equations. A detailed history of the problem is described in the introduction. Presents the fundamental features of the method Construction of lower and upper solutions in problems Working applications and illustrated theorems by examples Description of the history of the method and Bibliographical notes Includes bibliographical references (p. 463-487) and index MATHEMATICS / Differential Equations / General bisacsh Boundary value problems fast Functional differential equations fast Boundary value problems Functional differential equations Habets, Patrick 1943- Sonstige (DE-588)1051479770 oth http://www.sciencedirect.com/science/book/9780444522009 Verlag Volltext |
| spellingShingle | De Coster, Colette Two-point boundary value problems lower and upper solutions MATHEMATICS / Differential Equations / General bisacsh Boundary value problems fast Functional differential equations fast Boundary value problems Functional differential equations |
| title | Two-point boundary value problems lower and upper solutions |
| title_auth | Two-point boundary value problems lower and upper solutions |
| title_exact_search | Two-point boundary value problems lower and upper solutions |
| title_full | Two-point boundary value problems lower and upper solutions Colette De Coster, Patrick Habets |
| title_fullStr | Two-point boundary value problems lower and upper solutions Colette De Coster, Patrick Habets |
| title_full_unstemmed | Two-point boundary value problems lower and upper solutions Colette De Coster, Patrick Habets |
| title_short | Two-point boundary value problems |
| title_sort | two point boundary value problems lower and upper solutions |
| title_sub | lower and upper solutions |
| topic | MATHEMATICS / Differential Equations / General bisacsh Boundary value problems fast Functional differential equations fast Boundary value problems Functional differential equations |
| topic_facet | MATHEMATICS / Differential Equations / General Boundary value problems Functional differential equations |
| url | http://www.sciencedirect.com/science/book/9780444522009 |
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