Oscillation theory for difference and functional differential equations:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer
2000
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 337 S. |
| ISBN: | 0792362896 |
Internformat
MARC
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Datensatz im Suchindex
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|---|---|
| adam_text | IMAGE 1
OSCILLATION THEORY FOR
DIFFERENCE AND FUNCTIONAL DIFFERENTIAL EQUATIONS
BY RAVI R AGARWAL DEPARTMENT OF MATHEMATICS, NATIONAL UNIVERSITY
OFSINGAPORE,
SINGAPORE
SAID R. GRACE DEPARTMENT OF ENGINEERING MATHEMATICS, CAIRO UNIVERSITY,
ORMAN, GIZA, EGYPT
AND
DONAL O REGAN
DEPARTMENT OF MATHEMATICS, NATIONAL UNIVERSITY OFLRELAND, GALWAY,
IRELAND
KLUWER ACADEMIC PUBLISHERS
DORDRECHT / BOSTON / LONDON
IMAGE 2
CONTENTS
PREFACE VU
C H A P T ER 1 OSCILLATION OF DIFFERENCE EQUATIONS
1.1. INTRODUCTION 1
1.2. OSCILLATION OF SCALAR DIFFERENCE EQUATIONS 2
1.3. OSCILLATION OF ORTHOGONAL POLYNOMIALS 8
1.4. OSCILLATION OF FUNCTIONS RECURRENCE EQUATIONS 14
1.5. OSCILLATION IN ORDERED SETS 19
1.6. OSCILLATION IN LINEAR SPACES 22
1.7. OSCILLATION IN ARCHIMEDEAN SPACES 24
1.8. OSCILLATION OF PARTIAL RECURRENCE EQUATIONS 27
1.9. OSCILLATION OF SYSTEM OF EQUATIONS 32
1.10. OSCILLATION BETWEEN SETS 36
1.11. OSCILLATION OF CONTINUOUS-DISCRETE RECURRENCE EQUATIONS 39
1.12. SECOND ORDER QUASILINEAR DIFFERENCE EQUATIONS 42
1.13. OSCILLATION OF EVEN ORDER DIFFERENCE EQUATIONS 56
1.14. OSCILLATION OF ODD ORDER DIFFERENCE EQUATIONS 65
1.15. OSCILLATION OF NEUTRAL DIFFERENCE EQUATIONS 73
1.16. OSCILLATION OF MIXED DIFFERENCE EQUATIONS 79
1.17. DIFFERENCE EQUATIONS INVOLVING QUASI-DIFFERENCES 94
1.18. DIFFERENCE EQUATIONS WITH DISTRIBUTED DEVIATING ARGUMENTS 117
1.19. OSCILLATION OF SYSTEMS OF HIGHER ORDER DIFFERENCE EQUATIONS 143
1.20. PARTIAL DIFFERENCE EQUATIONS WITH CONTINUOUS VARIABLES 149
C H A P T ER 2 OSCILLATION OF FUNCTIONAL DIFFERENTIAL
EQUATIONS
2.1. INTRODUCTION 166
2.2. DEFINITIONS, NOTATIONS AND PRELIMINARIES 167
2.3. ORDINARY DIFFERENTIAL EQUATIONS 173
IMAGE 3
VI
2.4. FUNCTIONAL DIFFERENTIAL EQUATIONS 180
2.5. COMPARISON OF EQUATIONS OF THE SAME FORM 199
2.6. COMPARISON OF EQUATIONS WITH OTHERS OF LOWER ORDER 205
2.7. FURTHER COMPARISON RESULTS 208
2.8. EQUATIONS WITH MIDDLE TERM OF ORDER (N - 1) 225
2.9. FORCED DIFFERENTIAL EQUATIONS 235
2.10. FORCED EQUATIONS WITH MIDDLE TERM OF ORDER (N - 1) 242
2.11. SUPERLINEAR FORCED EQUATIONS 244
2.12. SUBLINEAR FORCED EQUATIONS 247
2.13. PERTURBED FUNCTIONAL EQUATIONS 249
2.14. COMPARISON OF NEUTRAL EQUATIONS WITH NONNEUTRAL EQUATIONS 252
2.15. COMPARISON OF NEUTRAL EQUATIONS WITH EQUATIONS OF THE SAME FORM
261
2.16. NEUTRAL DIFFERENTIAL EQUATIONS OF MIXED TYPE 265
2.17. FUNCTIONAL DIFFERENTIAL EQUATIONS INVOLVING QUASI-DERIVATIVES 275
2.18. NEUTRAL AND DAMPED FUNCTIONAL DIFFERENTIAL EQUATIONS INVOLVING
QUASI-DERIVATIVES 286
2.19. FORCED FUNCTIONAL DIFFERENTIAL EQUATIONS INVOLVING
QUASI-DERIVATIVES 291
2.20. SYSTEMS OF HIGHER ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS 309
REFERENCES 318
SUBJECT INDEX 336
|
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| discipline | Mathematik |
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| id | DE-604.BV013410494 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:45:25Z |
| institution | BVB |
| isbn | 0792362896 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009151360 |
| oclc_num | 43864342 |
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| owner | DE-703 DE-188 |
| owner_facet | DE-703 DE-188 |
| physical | VI, 337 S. |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | Kluwer |
| record_format | marc |
| spelling | Agarwal, Ravi P. 1947- Verfasser (DE-588)112040187 aut Oscillation theory for difference and functional differential equations by Ravi P. Agarwal, Said R. Grace and Donal O'Regan Dordrecht [u.a.] Kluwer 2000 VI, 337 S. txt rdacontent n rdamedia nc rdacarrier Difference equations Oscillation theory Functional differential equations Oscillation theory Differenzengleichung (DE-588)4012264-5 gnd rswk-swf Funktional-Differentialgleichung (DE-588)4155668-9 gnd rswk-swf Schwingung (DE-588)4053999-4 gnd rswk-swf Differenzengleichung (DE-588)4012264-5 s Schwingung (DE-588)4053999-4 s DE-604 Funktional-Differentialgleichung (DE-588)4155668-9 s Grace, Said R. Verfasser aut O'Regan, Donal Verfasser aut GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009151360&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Agarwal, Ravi P. 1947- Grace, Said R. O'Regan, Donal Oscillation theory for difference and functional differential equations Difference equations Oscillation theory Functional differential equations Oscillation theory Differenzengleichung (DE-588)4012264-5 gnd Funktional-Differentialgleichung (DE-588)4155668-9 gnd Schwingung (DE-588)4053999-4 gnd |
| subject_GND | (DE-588)4012264-5 (DE-588)4155668-9 (DE-588)4053999-4 |
| title | Oscillation theory for difference and functional differential equations |
| title_auth | Oscillation theory for difference and functional differential equations |
| title_exact_search | Oscillation theory for difference and functional differential equations |
| title_full | Oscillation theory for difference and functional differential equations by Ravi P. Agarwal, Said R. Grace and Donal O'Regan |
| title_fullStr | Oscillation theory for difference and functional differential equations by Ravi P. Agarwal, Said R. Grace and Donal O'Regan |
| title_full_unstemmed | Oscillation theory for difference and functional differential equations by Ravi P. Agarwal, Said R. Grace and Donal O'Regan |
| title_short | Oscillation theory for difference and functional differential equations |
| title_sort | oscillation theory for difference and functional differential equations |
| topic | Difference equations Oscillation theory Functional differential equations Oscillation theory Differenzengleichung (DE-588)4012264-5 gnd Funktional-Differentialgleichung (DE-588)4155668-9 gnd Schwingung (DE-588)4053999-4 gnd |
| topic_facet | Difference equations Oscillation theory Functional differential equations Oscillation theory Differenzengleichung Funktional-Differentialgleichung Schwingung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009151360&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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