Stability and asymptotic behavior of differential equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston
Heath
1965
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Heath mathematical monographs |
| Beschreibung: | VIII, 166 S. |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804123402200416256 |
|---|---|
| adam_text | CONTENTS
Chapter I. INITIAL VALUE PROBLEMS 1
1. Introduction 1
2. Existence of solutions 5
3. Dependence on parameters and initial conditions 16
4. Differential inequalities 27
Chapter II. LINEAR DIFFERENTIAL EQUATIONS 36
1. Matrices 36
2. General properties of linear equations 42
3. Autonomous and periodic equations 46
4. Second order equations 48
Chapter III. STABILITY 51
1. Definitions 51
2. Stability of linear equations 54
3. Stability of nonlinear equations 64
(Uniform and strong stability, asymptotic and uniform asymptotic
stability, instability, conditional stability, orbital stability)
t
Chapter IV. ASYMPTOTIC BEHAVIOR 88
1. Asymptotic behavior of linear equations 88
2. Asymptotic behavior of nonlinear equations 96
3. The method of variable characteristic roots 111
4. Asymptotic behavior of second order linear equations 118
viii Contents
Chapter V. BOUNDEDNESS 129
1. Boundedness of linear equations 129
2. Boundedness of nonlinear equations 137
3. Boundedness of nth order equations 139
Appendix. THE ROUTH HURWITZ PROBLEM 143
1. Introduction 143
2. The index of a rational function 144
3. Stability criteria for complex polynomials 150
4. Stability criteria for real polynomials 154
References 159
Index 165
|
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| author | Coppel, William A. |
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| discipline | Mathematik |
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| id | DE-604.BV009046855 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:29:12Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005987267 |
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| physical | VIII, 166 S. |
| psigel | TUB-nveb |
| publishDate | 1965 |
| publishDateSearch | 1965 |
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| publisher | Heath |
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| spelling | Coppel, William A. Verfasser (DE-588)108974839 aut Stability and asymptotic behavior of differential equations W. A. Coppel Boston Heath 1965 VIII, 166 S. txt rdacontent n rdamedia nc rdacarrier Heath mathematical monographs Differential equations Asymptotic theory Stabilität (DE-588)4056693-6 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s Stabilität (DE-588)4056693-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987267&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Coppel, William A. Stability and asymptotic behavior of differential equations Differential equations Asymptotic theory Stabilität (DE-588)4056693-6 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4056693-6 (DE-588)4012249-9 |
| title | Stability and asymptotic behavior of differential equations |
| title_auth | Stability and asymptotic behavior of differential equations |
| title_exact_search | Stability and asymptotic behavior of differential equations |
| title_full | Stability and asymptotic behavior of differential equations W. A. Coppel |
| title_fullStr | Stability and asymptotic behavior of differential equations W. A. Coppel |
| title_full_unstemmed | Stability and asymptotic behavior of differential equations W. A. Coppel |
| title_short | Stability and asymptotic behavior of differential equations |
| title_sort | stability and asymptotic behavior of differential equations |
| topic | Differential equations Asymptotic theory Stabilität (DE-588)4056693-6 gnd Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Differential equations Asymptotic theory Stabilität Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005987267&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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