Generalized quasilinearization for nonlinear problems
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| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
1998
|
| Schriftenreihe: | Mathematics and its applications
440 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
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| 245 | 1 | 0 | |a Generalized quasilinearization for nonlinear problems |c by V. Lakshmikantham and A. S. Vatsala |
| 264 | 1 | |a Dordrecht [u.a.] |b Kluwer |c 1998 | |
| 300 | |a IX, 276 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Mathematics and its applications |v 440 | |
| 650 | 4 | |a Analyse non linéaire | |
| 650 | 7 | |a Quasilinéarisation |2 ram | |
| 650 | 7 | |a Systèmes dynamiques |2 ram | |
| 650 | 7 | |a Équations différentielles non linéaires - Solutions numériques |2 ram | |
| 650 | 7 | |a Équations différentielles stochastiques |2 ram | |
| 650 | 4 | |a Differential equations, Nonlinear |x Numerical solutions | |
| 650 | 4 | |a Quasilinearization | |
| 650 | 0 | 7 | |a Nichtlineare Differentialgleichung |0 (DE-588)4205536-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Quasilineare Differentialgleichung |0 (DE-588)4502329-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Linearisierung |0 (DE-588)4199872-8 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Quasilineare Differentialgleichung |0 (DE-588)4502329-3 |D s |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-008345819 | |
Datensatz im Suchindex
| _version_ | 1819772789783003136 |
|---|---|
| adam_text | Contents
Preface vii
1. FIRST ORDER DIFFERENTIAL EQUATIONS 1
1.0 Introduction 1
1.1 Method of upper and lower solutions 2
1.2 Method of quasiltnearization 10
1.3 Extensions 15
1.4 Generalizations 30
1.5 Refinements 52
1.6 Notes 67
2. FIRST ORDER DIFFERENTIAL EQUATIONS (CONT.) 69
2.0 Introduction 69
2.1 Periodic boundary value problems 70
2.2 Anti periodic boundary value problems 95
2.3 Interval analysis and quasilinearization 113
2.4 Higher order convergence 132
2.5 Another refinement of quasilinearization 138
2.6 Extension to system of differential equations 160
2.7 Notes 179
3. SECOND ORDER DIFFERENTIAL EQUATIONS 181
3.0 Introduction 181
3.1 Method of upper and lower solutions. 182
3.2 Extension of quasilinearization 186
3.3 Generalized quasilinearization 191
3.4 General second order BVP 197
v
vi GENERALIZED QUASILINEARIZATION FOR NONLINEAR PROBLEMS
3.5 General second order BVP (continued) 209
3.6 Higher order convergence 214
3.7 Notes 220
4. MISCELLANEOUS EXTENSIONS 221
4.0 Introduction 221
4.1 Dynamic systems on time scales 222
4.2 Integro differential equations 229
4.3 Functional differential equations 237
4.4 Impulsive differential equations 244
4.5 Stochastic differential equations 253
4.6 Differential equations in a Banach space 262
4.7 Notes 267
References 269
Index 275
|
| any_adam_object | 1 |
| author | Lakshmikantham, Vangipuram 1926- |
| author_GND | (DE-588)104268050 |
| author_facet | Lakshmikantham, Vangipuram 1926- |
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| author_sort | Lakshmikantham, Vangipuram 1926- |
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| callnumber-subject | QA - Mathematics |
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| ctrlnum | (OCoLC)38550717 (DE-599)BVBBV012310915 |
| dewey-full | 515/.355 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.355 |
| dewey-search | 515/.355 |
| dewey-sort | 3515 3355 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV012310915 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-23T15:00:17Z |
| institution | BVB |
| isbn | 0792350383 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008345819 |
| oclc_num | 38550717 |
| open_access_boolean | |
| owner | DE-703 DE-29T DE-11 |
| owner_facet | DE-703 DE-29T DE-11 |
| physical | IX, 276 S. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Kluwer |
| record_format | marc |
| series | Mathematics and its applications |
| series2 | Mathematics and its applications |
| spellingShingle | Lakshmikantham, Vangipuram 1926- Generalized quasilinearization for nonlinear problems Mathematics and its applications Analyse non linéaire Quasilinéarisation ram Systèmes dynamiques ram Équations différentielles non linéaires - Solutions numériques ram Équations différentielles stochastiques ram Differential equations, Nonlinear Numerical solutions Quasilinearization Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Quasilineare Differentialgleichung (DE-588)4502329-3 gnd Linearisierung (DE-588)4199872-8 gnd |
| subject_GND | (DE-588)4205536-2 (DE-588)4502329-3 (DE-588)4199872-8 |
| title | Generalized quasilinearization for nonlinear problems |
| title_auth | Generalized quasilinearization for nonlinear problems |
| title_exact_search | Generalized quasilinearization for nonlinear problems |
| title_full | Generalized quasilinearization for nonlinear problems by V. Lakshmikantham and A. S. Vatsala |
| title_fullStr | Generalized quasilinearization for nonlinear problems by V. Lakshmikantham and A. S. Vatsala |
| title_full_unstemmed | Generalized quasilinearization for nonlinear problems by V. Lakshmikantham and A. S. Vatsala |
| title_short | Generalized quasilinearization for nonlinear problems |
| title_sort | generalized quasilinearization for nonlinear problems |
| topic | Analyse non linéaire Quasilinéarisation ram Systèmes dynamiques ram Équations différentielles non linéaires - Solutions numériques ram Équations différentielles stochastiques ram Differential equations, Nonlinear Numerical solutions Quasilinearization Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Quasilineare Differentialgleichung (DE-588)4502329-3 gnd Linearisierung (DE-588)4199872-8 gnd |
| topic_facet | Analyse non linéaire Quasilinéarisation Systèmes dynamiques Équations différentielles non linéaires - Solutions numériques Équations différentielles stochastiques Differential equations, Nonlinear Numerical solutions Quasilinearization Nichtlineare Differentialgleichung Quasilineare Differentialgleichung Linearisierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008345819&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT lakshmikanthamvangipuram generalizedquasilinearizationfornonlinearproblems AT vatsalaas generalizedquasilinearizationfornonlinearproblems |