Monotone flows and rapid convergence for nonlinear partial differential equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
London [u.a.]
Taylor & Francis
2003
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Series in mathematical analysis and applications
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 318 S. |
| ISBN: | 0415305284 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | MONOTONE FLOWS AND RAPID CONVERGENCE FOR NONLINEAR PARTIAL DIFFERENTIAL
EQUATIONS V. LAKSHMIKANTHAM AND S. KOKSAL TAYLOR & FRANCIS TAYLOR &
FRANCIS CROUP . LONDON AND NEW YORK CONTENTS PREFACE IX PART A 1 1
ELLIPTIC EQUATIONS 3 1.1 INTRODUCTION 3 1.2 MONOTONE ITERATES: A PREVIEW
4 1.3 MONOTONE ITERATIVE TECHNIQUE 9 1.4 GENERALIZED QUASILINEARIZATION
22 1.5 WEAKLY COUPLED MIXED MONOTONE SYSTEMS 30 1.6 ELLIPTIC SYSTEMS IN
UNBOUNDED DOMAINS 34 1.7 MONOTONE ITERATIVE TECHNIQUE (MIT) FOR SYSTEMS
IN UNBOUNDED DOMAINS 39 1.8 NOTES AND COMMENTS 42 2 PARABOLIC EQUATIONS
45 2.1 INTRODUCTION 45 2.2 COMPARISON THEOREMS 46 2.3 MONOTONE ITERATIVE
TECHNIQUE 49 2.4 GENERALIZED QUASILINEARIZATION 55 2.5 MONOTONE FLOWS
AND MIXED MONOTONE SYSTEMS 62 2.6 GENERALIZED COMPARISON RESULTS (GCRS)
FOR WEAKLY COUPLED SYSTEMS 68 2.7 STABILITY AND VECTOR LYAPUNOV
FUNCTIONS 72 2.8 NOTES AND COMMENTS 77 3 IMPULSIVE PARABOLIC EQUATIONS
79 3.1 INTRODUCTION 79 3.2 COMPARISON RESULTS FOR IMPULSIVE PARABOLIC
SYSTEMS (IPSS) . 79 3.3 COUPLED LOWER AND UPPER SOLUTIONS 90 VI CONTENTS
3.4 GENERALIZED QUASILINEARIZATION 97 3.5 POPULATION DYNAMICS WITH
IMPULSES 108 3.6 NOTES AND COMMENTS 112 4 HYPERBOLIC EQUATIONS 113 4.1
INTRODUCTION 113 4.2 VARIATION OF PARAMETERS (VP) AND COMPARISON RESULTS
. . . . 113 4.3 MONOTONE ITERATIVE TECHNIQUE 126 4.4 THE METHOD OF
GENERALIZED QUASILINEARIZATION 131 4.5 NOTES AND COMMENTS 137 PART B 139
5 ELLIPTIC EQUATIONS 141 5.1 INTRODUCTION 141 5.2 COMPARISON RESULT 142
5.3 MONOTONE ITERATIVE TECHNIQUE (MIT): SEMILINEAR PROBLEMS . 146 5.4
MONOTONE ITERATIVE TECHNIQUE (MIT): QUASILINEAR PROBLEMS . 154 5.5
MONOTONE ITERATIVE TECHNIQUE (MIT): DEGENERATE PROBLEMS . 164 5.6
GENERALIZED QUASILINEARIZATION (GQ): SEMILINEAR PROBLEMS . . 174 5.7
GENERALIZED QUASILINEARIZATION (GQ): QUASILINEAR PROBLEM . . 182 5.8
GENERALIZED QUASILINEARIZATION (GQ): DEGENERATE PROBLEMS . 189 5.9 NOTES
AND COMMENTS 196 6 PARABOLIC EQUATIONS 199 6.1 INTRODUCTION 199 6.2
MONOTONE ITERATIVE TECHNIQUE 200 6.3 GENERALIZED QUASILINEARIZATION 209
6.4 NONLOCAL PROBLEMS: EXISTENCE AND COMPARISON RESULTS . . . . 224 6.5
GENERALIZED QUASILINEARIZATION (GQ): NONLOCAL PROBLEMS . . . 236 6.6
QUASILINEAR PROBLEMS: EXISTENCE AND COMPARISON RESULTS . . 246 6.7
GENERALIZED QUASILINEARIZATION (GQ): QUASILINEAR PROBLEMS . 254 6.8
NOTES AND COMMENTS 268 7 HYPERBOLIC EQUATIONS 269 7.1 INTRODUCTION 269
7.2 NOTATION AND COMPARISON RESULTS 269 7.3 MONOTONE ITERATIVE TECHNIQUE
275 7.4 GENERALIZED QUASILINEARIZATION 281 7.5 NOTES AND COMMENTS 292
CONTENTS VII APPENDIX A 293 A.I SOBOLEV SPACES 293 A.2 ELLIPTIC
EQUATIONS 297 A.3 PARABOLIC EQUATIONS 300 A.4 IMPULSIVE DIFFERENTIAL
EQUATIONS 305 A.5 HYPERBOLIC EQUATIONS 306 BIBLIOGRAPHY 309 INDEX 317
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| id | DE-604.BV017419328 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:17:48Z |
| institution | BVB |
| isbn | 0415305284 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010496441 |
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| physical | X, 318 S. |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Taylor & Francis |
| record_format | marc |
| series | Series in mathematical analysis and applications |
| series2 | Series in mathematical analysis and applications |
| spelling | Lakshmikantham, Vangipuram 1926- Verfasser (DE-588)104268050 aut Monotone flows and rapid convergence for nonlinear partial differential equations V. Lakshmikantham and S. Köksal 1. publ. London [u.a.] Taylor & Francis 2003 X, 318 S. txt rdacontent n rdamedia nc rdacarrier Series in mathematical analysis and applications 7 Differential equations, Nonlinear Differential equations, Partial Iterative methods (Mathematics) Monotone Iteration (DE-588)4170486-1 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd rswk-swf Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 s Monotone Iteration (DE-588)4170486-1 s DE-604 Köksal, Sema Verfasser aut Series in mathematical analysis and applications 7 (DE-604)BV013405523 7 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010496441&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lakshmikantham, Vangipuram 1926- Köksal, Sema Monotone flows and rapid convergence for nonlinear partial differential equations Series in mathematical analysis and applications Differential equations, Nonlinear Differential equations, Partial Iterative methods (Mathematics) Monotone Iteration (DE-588)4170486-1 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| subject_GND | (DE-588)4170486-1 (DE-588)4128900-6 |
| title | Monotone flows and rapid convergence for nonlinear partial differential equations |
| title_auth | Monotone flows and rapid convergence for nonlinear partial differential equations |
| title_exact_search | Monotone flows and rapid convergence for nonlinear partial differential equations |
| title_full | Monotone flows and rapid convergence for nonlinear partial differential equations V. Lakshmikantham and S. Köksal |
| title_fullStr | Monotone flows and rapid convergence for nonlinear partial differential equations V. Lakshmikantham and S. Köksal |
| title_full_unstemmed | Monotone flows and rapid convergence for nonlinear partial differential equations V. Lakshmikantham and S. Köksal |
| title_short | Monotone flows and rapid convergence for nonlinear partial differential equations |
| title_sort | monotone flows and rapid convergence for nonlinear partial differential equations |
| topic | Differential equations, Nonlinear Differential equations, Partial Iterative methods (Mathematics) Monotone Iteration (DE-588)4170486-1 gnd Nichtlineare partielle Differentialgleichung (DE-588)4128900-6 gnd |
| topic_facet | Differential equations, Nonlinear Differential equations, Partial Iterative methods (Mathematics) Monotone Iteration Nichtlineare partielle Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010496441&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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