Monotone iterative techniques for discontinuous nonlinear differential equations:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York u.a.
Dekker
1994
|
| Schriftenreihe: | Pure and applied mathematics
181 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IX, 514 S. |
| ISBN: | 0824792246 |
Internformat
MARC
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| 100 | 1 | |a Heikkilä, Seppo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Monotone iterative techniques for discontinuous nonlinear differential equations |c Seppo Heikkilä ; V. Lakshmikantham |
| 264 | 1 | |a New York u.a. |b Dekker |c 1994 | |
| 300 | |a IX, 514 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 181 | |
| 650 | 7 | |a Itération (mathématiques) |2 ram | |
| 650 | 4 | |a Méthode itérative monotone | |
| 650 | 7 | |a Équations différentielles non linéaires - Solutions numériques |2 ram | |
| 650 | 4 | |a Differential equations, Nonlinear |x Numerical solutions | |
| 650 | 4 | |a Iterative methods (Mathematics) | |
| 650 | 0 | 7 | |a Nichtlineare Differentialgleichung |0 (DE-588)4205536-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
Preface Hi
1. METHODS AND PREREQUISITES 1
1.0. Introduction 1
1.1. Analysis in Ordered Spaces 2
1.2. Fixed Point Theorems 20
1.3. Ordered Normed and Function Spaces 27
1.4. Results of Nonlinear Analysis 36
1.5. Method of Upper and Lower Solutions 67
1.6. Notes and Comments 79
2. FIRST ORDER DIFFERENTIAL EQUATIONS 83
2.0. Introduction 83
2.1. Scalar Initial Value Problems 85
2.2. Mixed Monotone IVP s 107
2.3. First Order Periodic BVP s 121
2.4. Finite Differential Systems 134
2.5. Mixed Monotone Systems 152
vii
viii Contents
2.6. Periodic Boundary Value Systems 164
2.7. Infinite Differential Systems 175
2.8. Infinite Mixed Monotone Systems 193
2.9. Infinite Systems of Periodic BVP s 204
2.10. Notes and Comments 216
3. SECOND ORDER DIFFERENTIAL EQUATIONS 217
3.0. Introduction 217
3.1. Second Order BVP s 218
3.2. Second Order Mixed Monotone BVP s 233
3.3. Systems of Second Order BVP s 240
3.4. Second Order Mixed Monotone BVP s 255
3.5. Notes and Comments 263
4. SECOND ORDER PARTIAL
DIFFERENTIAL EQUATIONS 265
4.0. Introduction 265
4.1. Quasilinear Elliptic BVP s 267
4.2. Elliptic Equations 285
4.3. Elliptic Systems 292
4.4. Parabolic IBVP s 303
4.5. Parabolic Systems 321
4.6. Notes and Comments 327
5. DIFFERENTIAL EQUATIONS IN
BANACH SPACES 329
5.0. Introduction 329
5.1. Existence, Uniqueness fo Extremality Results 331
5.2. Extremal Solutions of Semilinear IVP s 350
5.3. Higher Order Differential Equations 366
5.4. Periodic Boundary Value Problems 380
5.5. Mixed Monotone Equations 394
Contents ix
5.6. On Mild Solutions of First Order IVP s 415
5.7. Second Order Semilinear IVP s 434
5.8. Ordered Banach ; Function Spaces 455
5.9. Notes and Comments 486
References 489
Index 507
|
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| id | DE-604.BV009737952 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:40:01Z |
| institution | BVB |
| isbn | 0824792246 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-006440258 |
| oclc_num | 29751557 |
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| physical | IX, 514 S. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Heikkilä, Seppo Verfasser aut Monotone iterative techniques for discontinuous nonlinear differential equations Seppo Heikkilä ; V. Lakshmikantham New York u.a. Dekker 1994 IX, 514 S. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 181 Itération (mathématiques) ram Méthode itérative monotone Équations différentielles non linéaires - Solutions numériques ram Differential equations, Nonlinear Numerical solutions Iterative methods (Mathematics) Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Monotone Iteration (DE-588)4170486-1 gnd rswk-swf Nichtlineare Differentialgleichung (DE-588)4205536-2 s Monotone Iteration (DE-588)4170486-1 s DE-604 Lakshmikantham, Vangipuram 1926- Verfasser (DE-588)104268050 aut Pure and applied mathematics 181 (DE-604)BV000001885 181 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006440258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Heikkilä, Seppo Lakshmikantham, Vangipuram 1926- Monotone iterative techniques for discontinuous nonlinear differential equations Pure and applied mathematics Itération (mathématiques) ram Méthode itérative monotone Équations différentielles non linéaires - Solutions numériques ram Differential equations, Nonlinear Numerical solutions Iterative methods (Mathematics) Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Monotone Iteration (DE-588)4170486-1 gnd |
| subject_GND | (DE-588)4205536-2 (DE-588)4170486-1 |
| title | Monotone iterative techniques for discontinuous nonlinear differential equations |
| title_auth | Monotone iterative techniques for discontinuous nonlinear differential equations |
| title_exact_search | Monotone iterative techniques for discontinuous nonlinear differential equations |
| title_full | Monotone iterative techniques for discontinuous nonlinear differential equations Seppo Heikkilä ; V. Lakshmikantham |
| title_fullStr | Monotone iterative techniques for discontinuous nonlinear differential equations Seppo Heikkilä ; V. Lakshmikantham |
| title_full_unstemmed | Monotone iterative techniques for discontinuous nonlinear differential equations Seppo Heikkilä ; V. Lakshmikantham |
| title_short | Monotone iterative techniques for discontinuous nonlinear differential equations |
| title_sort | monotone iterative techniques for discontinuous nonlinear differential equations |
| topic | Itération (mathématiques) ram Méthode itérative monotone Équations différentielles non linéaires - Solutions numériques ram Differential equations, Nonlinear Numerical solutions Iterative methods (Mathematics) Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Monotone Iteration (DE-588)4170486-1 gnd |
| topic_facet | Itération (mathématiques) Méthode itérative monotone Équations différentielles non linéaires - Solutions numériques Differential equations, Nonlinear Numerical solutions Iterative methods (Mathematics) Nichtlineare Differentialgleichung Monotone Iteration |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006440258&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
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