Oscillation theory of partial differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey u. a.
World Scientific
2008
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 326 S. |
| ISBN: | 9789812835437 9812835431 |
Internformat
MARC
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| 245 | 1 | 0 | |a Oscillation theory of partial differential equations |c Norio Yoshida |
| 264 | 1 | |a New Jersey u. a. |b World Scientific |c 2008 | |
| 300 | |a XI, 326 S. | ||
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Datensatz im Suchindex
| _version_ | 1804138694271041536 |
|---|---|
| adam_text | Titel: Oscillation theory of partial differential equations
Autor: Yoshida, Norio
Jahr: 2008
Contents
Preface vii
1. Oscillation of Elliptic Equations 1
1.1 Nodal Oscillation of Linear Elliptic Equations..............1
1.2 Superlinear Elliptic Equations................................4
1.3 Sublinear Elliptic Equations..................................9
1.4 Perturbed Elliptic Equations................................14
1.5 Elliptic Equations with Variable Coefficients................20
1.6 Higher Order Elliptic Equations I............................27
1.7 Higher Order Elliptic Equations II..........................32
1.8 Notes ..........................................................37
2. Oscillation of Parabolic Equations 39
2.1 Boundary Value Problems....................................39
2.2 Initial Value Problems........................................44
2.3 Notes ..........................................................48
3. Oscillation of Hyperbolic Equations 51
3.1 Boundary Value Problems....................................51
3.2 Initial Value Problems........................................62
3.3 Characteristic Initial Value Problems........................65
3.4 Ultrahyperbolic Equations....................................75
3.5 Bianchi Equations............................................78
3.6 Higher Order Hyperbolic Equations ........................85
3.7 Notes ..........................................................90
4. Oscillation of Beam Equations 91
ix
x Oscillation Theory of Partial Differential Equations
4.1 Extensible Beam Equations..................................91
4.2 Timoshenko Beam Equations................................96
4.3 Notes..........................................................100
5. Functional Elliptic Equations 1 *01
5.1 Equations with Deviating Arguments............101
5.2 Notes..........................................................106
6. Functional Parabolic Equations 109
6.1 Equations with Functional Arguments...........109
6.2 Boundary Value Problems....................................110
6.3 Forced Oscillation I............................................124
6.4 Forced Oscillation II..........................................136
6.5 Impulsive Parabolic Equations..............................145
6.6 Parabolic Systems I ..........................................152
6.7 Parabolic Systems II..........................................161
6.8 Notes..........................................................176
7. Functional Hyperbolic Equations 179
7.1 Hyperbolic Equations with Delays..........................179
7.2 Equations with Forcing Terms I..............................185
7.3 Equations with Forcing Terms II............................192
7.4 Impulsive Hyperbolic Equations...............198
7.5 Higher Order Equations...................207
7.6 Hyperbolic Systems I..........................................221
7.7 Hyperbolic Systems II....................227
7.8 Notes..........................................................237
8. Picone Identities and Applications 239
8.1 Half-Linear Elliptic Equations I...............239
8.2 Half-Linear Elliptic Equations II............................250
8.3 Half-Linear Damped Elliptic Equations ..........257
8.4 Forced Superlinear Elliptic Equations ...........265
8.5 Superlinear-Sublinear Elliptic Equations....................270
8.6 Quasilinear Parabolic Equations ..............275
8.7 Parabolic Systems......................282
8.8 Applications to Riccati Method..............................291
8.9 Notes..........................................................303
Contents xi
Symbols and Notation 305
Bibliography 307
Index 325
|
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| id | DE-604.BV035367459 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:32:15Z |
| institution | BVB |
| isbn | 9789812835437 9812835431 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017171401 |
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| physical | XI, 326 S. |
| publishDate | 2008 |
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| spelling | Yoshida, Norio Verfasser aut Oscillation theory of partial differential equations Norio Yoshida New Jersey u. a. World Scientific 2008 XI, 326 S. txt rdacontent n rdamedia nc rdacarrier Differential equations Oscillation theory Textbooks Differential equations, Partial Textbooks Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Schwingung (DE-588)4053999-4 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017171401&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Yoshida, Norio Oscillation theory of partial differential equations Differential equations Oscillation theory Textbooks Differential equations, Partial Textbooks Partielle Differentialgleichung (DE-588)4044779-0 gnd Schwingung (DE-588)4053999-4 gnd |
| subject_GND | (DE-588)4044779-0 (DE-588)4053999-4 |
| title | Oscillation theory of partial differential equations |
| title_auth | Oscillation theory of partial differential equations |
| title_exact_search | Oscillation theory of partial differential equations |
| title_full | Oscillation theory of partial differential equations Norio Yoshida |
| title_fullStr | Oscillation theory of partial differential equations Norio Yoshida |
| title_full_unstemmed | Oscillation theory of partial differential equations Norio Yoshida |
| title_short | Oscillation theory of partial differential equations |
| title_sort | oscillation theory of partial differential equations |
| topic | Differential equations Oscillation theory Textbooks Differential equations, Partial Textbooks Partielle Differentialgleichung (DE-588)4044779-0 gnd Schwingung (DE-588)4053999-4 gnd |
| topic_facet | Differential equations Oscillation theory Textbooks Differential equations, Partial Textbooks Partielle Differentialgleichung Schwingung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017171401&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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