Local theory of nonlinear analytic ordinary differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1979
|
| Series: | Lecture notes in mathematics
702 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 146 S. |
| ISBN: | 3540091149 0387091149 |
Staff View
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| 100 | 1 | |a Bibikov, Jurij N. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Local theory of nonlinear analytic ordinary differential equations |c Yuri N. Bibikov |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1979 | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
Page
Basic Notation VII
§ 0. Introduction , , , 1
Chapter I. Analytic Families of Solutions 3
§1. Auxiliary Lemma 3
§ 2. Normal Form 6
§3. Normal Form on an Invariant Surface 14
§4. Liapunov s First Method 23
§5. Analytic Family of Periodic Solutions 28
§6. Special Cases 33
§ 7. Bifurcation Equation 42
Chapter II. Stability 48
§8. Stability by the First Approximation 48
§9. Liapunov s Second Method 50
§10. Quasi Normal Form 58
§11. Reduction Principle 67
§12. Critical Case of One Zero Eigenvalue 75
§13. Critical Case of One Pair of Pure
Imaginary Eigenvalues 84
Chapter III. Quasi Periodic Solutions 91
§ 14. Preliminaries 91
515. Principle Theorem 96
§ 16. Formal Construction 102
§ 17. Inductive Lemma 111
§18. Technical Lemmas 121
§19. Passage to the Limit 125
§20. Special Cases 130
Appendix. Poincar6 s Problem 136
References 145
Index 147
|
| any_adam_object | 1 |
| author | Bibikov, Jurij N. |
| author_facet | Bibikov, Jurij N. |
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| author_sort | Bibikov, Jurij N. |
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| building | Verbundindex |
| bvnumber | BV002257933 |
| classification_rvk | SI 850 |
| ctrlnum | (OCoLC)472112526 (DE-599)BVBBV002257933 |
| discipline | Mathematik |
| format | Book |
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| genre | Lokale Theorie gnd |
| genre_facet | Lokale Theorie |
| id | DE-604.BV002257933 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:42:54Z |
| institution | BVB |
| isbn | 3540091149 0387091149 |
| language | English |
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| physical | IX, 146 S. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Bibikov, Jurij N. Verfasser aut Local theory of nonlinear analytic ordinary differential equations Yuri N. Bibikov Berlin [u.a.] Springer 1979 IX, 146 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 702 Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd rswk-swf Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd rswk-swf Lokale Theorie gnd rswk-swf Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 s DE-604 Nichtlineare Differentialgleichung (DE-588)4205536-2 s Lokale Theorie f Lecture notes in mathematics 702 (DE-604)BV000676446 702 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001483828&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bibikov, Jurij N. Local theory of nonlinear analytic ordinary differential equations Lecture notes in mathematics Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd |
| subject_GND | (DE-588)4205536-2 (DE-588)4478411-9 |
| title | Local theory of nonlinear analytic ordinary differential equations |
| title_auth | Local theory of nonlinear analytic ordinary differential equations |
| title_exact_search | Local theory of nonlinear analytic ordinary differential equations |
| title_full | Local theory of nonlinear analytic ordinary differential equations Yuri N. Bibikov |
| title_fullStr | Local theory of nonlinear analytic ordinary differential equations Yuri N. Bibikov |
| title_full_unstemmed | Local theory of nonlinear analytic ordinary differential equations Yuri N. Bibikov |
| title_short | Local theory of nonlinear analytic ordinary differential equations |
| title_sort | local theory of nonlinear analytic ordinary differential equations |
| topic | Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd Nichtlineare gewöhnliche Differentialgleichung (DE-588)4478411-9 gnd |
| topic_facet | Nichtlineare Differentialgleichung Nichtlineare gewöhnliche Differentialgleichung Lokale Theorie |
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