A Course in Ordinary and Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Acad. Press
1969
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 477 S. |
Internformat
MARC
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| 245 | 1 | 0 | |a A Course in Ordinary and Partial Differential Equations |c Zalman Rubinstein |
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Datensatz im Suchindex
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| adam_text | Contents
»*
PREFACE . ix
PART I. ORDINARY DIFFERENTIAL EQUATIONS
Section 1 Classification and Solutions of First Order
Differential Equations 3
1.1 General Remarks 3
1.2 Solution of Elementary First Order Differential
Equations 9
1.3 Integration Factors 11
Section 2 Elementary Higher Order Differential Equations 14
Exercises 18
Section 3 Existence Theorems 27
Exercises 41
Section 4 Singular Solutions 50
Exercises 53
Section 5 Linear Equations of Arbitrary Order 54
Section 6 Solutions of Linear Equations 61
6.1 Solution of Linear Equations with Constant
Coefficients 61
v
vi CONTENTS
6.2 Operational Calculus and Solutions of Linear
Differential Equations 68
Exercises 76
Section 7 Linear Systems with Constant Coefficients 80
Exercises 90
Section 8 Infinite Series Solutions 98
Exercises 124
Section 9 Asymptotic Expansion of Solutions of Linear
Differential Equations 132
Exercises 143
Section 10 Solutions of Differential Equations by Definite
Integrals 146
Exercises 152
Section 11 Boundary Value Problems 154
11.1 Introduction 154
Exercises 158
11.2 Sturm Liouville Systems 159
Exercises 177
Section 12 Green s Function 184
Exercises 196
Section 13 Expansion Theorems 199
Exercises 209
Section 14 Nonlinear Differential Equations 218
14.1 General Remarks 218
14.2 Autonomous Systems 219
Exercises 230
14.3 Stability of Solutions of Differential Equations 233
Exercises 247
PART II. PARTIAL DIFFERENTIAL EQUATIONS
Section 1 Introduction 253
Exercises 264
CONTENTS vii
Section 2 Elementary Second Order Partial Differential
Equations 268
2.1 Classification of Second Order Equations 268
Exercises 276
2.2 The Cauchy Problem and the Characteristic
Surfaces 280
Exercises 292
Section 3 Second Order Hyperbolic Differential Equations 297
Exercises 329
Section 4 Second Order Elliptic Differential Equations 336
Exercises 351
Section 5 Second Order Parabolic Differential Equations 358
Exercises 370
Section 6 The Fourier Transform and Its Applications to Partial
Differential Equations 374
6.1 Definition and Elementary Properties of the
Fourier Transform 374
6.2 Applications of the Fourier Transform to
Elementary Differential Equations 388
Exercises 394
Section 7 Hilbert Space Approach to Partial
Differential Equations 401
Exercises 418
Section 8 Distributions and Their Applications to
Partial Differential Equations 422
Exercises 464
index 473
|
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| indexdate | 2024-07-09T15:37:25Z |
| institution | BVB |
| language | English |
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| spelling | Rubinstein, Zalman Verfasser aut A Course in Ordinary and Partial Differential Equations Zalman Rubinstein New York [u.a.] Acad. Press 1969 X, 477 S. txt rdacontent n rdamedia nc rdacarrier Equacoes Diferenciais Ordinarias larpcal Équations différentielles Differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Differentialgleichung (DE-588)4012249-9 s DE-604 Gewöhnliche Differentialgleichung (DE-588)4020929-5 s Partielle Differentialgleichung (DE-588)4044779-0 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001258108&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rubinstein, Zalman A Course in Ordinary and Partial Differential Equations Equacoes Diferenciais Ordinarias larpcal Équations différentielles Differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd Differentialgleichung (DE-588)4012249-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4012249-9 (DE-588)4020929-5 (DE-588)4151278-9 |
| title | A Course in Ordinary and Partial Differential Equations |
| title_auth | A Course in Ordinary and Partial Differential Equations |
| title_exact_search | A Course in Ordinary and Partial Differential Equations |
| title_full | A Course in Ordinary and Partial Differential Equations Zalman Rubinstein |
| title_fullStr | A Course in Ordinary and Partial Differential Equations Zalman Rubinstein |
| title_full_unstemmed | A Course in Ordinary and Partial Differential Equations Zalman Rubinstein |
| title_short | A Course in Ordinary and Partial Differential Equations |
| title_sort | a course in ordinary and partial differential equations |
| topic | Equacoes Diferenciais Ordinarias larpcal Équations différentielles Differential equations Partielle Differentialgleichung (DE-588)4044779-0 gnd Differentialgleichung (DE-588)4012249-9 gnd Gewöhnliche Differentialgleichung (DE-588)4020929-5 gnd |
| topic_facet | Equacoes Diferenciais Ordinarias Équations différentielles Differential equations Partielle Differentialgleichung Differentialgleichung Gewöhnliche Differentialgleichung Einführung |
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