Bifurcation theory for Fredholm operators:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
1976
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
174 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 7, Number 174 (first of 4 numbers) |
| Physical Description: | VIII, 128 S. |
| ISBN: | 0821821741 |
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MARC
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| 245 | 1 | 0 | |a Bifurcation theory for Fredholm operators |c Jorge Ize |
| 264 | 1 | |a Providence, RI |c 1976 | |
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 174 | |
| 500 | |a Volume 7, Number 174 (first of 4 numbers) | ||
| 650 | 7 | |a Analise Funcional |2 larpcal | |
| 650 | 4 | |a Differential equations, Nonlinear |x Numerical solutions | |
| 650 | 4 | |a Differential equations, Partial |x Numerical solutions | |
| 650 | 4 | |a Fredholm operators | |
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| 650 | 0 | 7 | |a Verzweigung |g Mathematik |0 (DE-588)4078889-1 |2 gnd |9 rswk-swf |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
page
INTRODUCTION v
ACKNOWLEDGEMENTS viii
CHAPTER ONE: BIFURCATION THEORY FOR ONE PARAMETER 1
§ I. Notations and preliminaries 2
§ II. Topological tools 6
§111. Finite multiplicity 12
§ IV. Bifurcation for Fredholm operators of
non negative index 24
§ V. Isolated eigenvalue versus finite
multiplicity 35
§ VI. Bifurcation theory for A(x) T(A)x =
g(x,X) 42
CHAPTER TWO: BIFURCATION THEORY FOR SEVERAL PARAMETERS 48
§ I. A special case d=d*^n 51
§ II. General situation 56
§111. Application: The Hopf bifurcation theorem 61
CHAPTER THREE: SOLUTIONS IN THE LARGE 70
§ I. Infinite dimensional cohomology 72
§ II. Global solutions 77
§111. The Hopf bifurcation theorem: global
version 93
CHAPTER FOUR: SPECIAL NONLINEARITIES 98
§ I. Study of eigenrays 101
§ II. Application: Bifurcation near an
isolated eigenray 105
APPENDIX 118
BIBLIOGRAPHY 125
|
| any_adam_object | 1 |
| author | Ize, Jorge 1946-2012 |
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| ctrlnum | (OCoLC)2346691 (DE-599)BVBBV003084439 |
| dewey-full | 510/.8 514/.24 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 514 - Topology |
| dewey-raw | 510/.8 514/.24 |
| dewey-search | 510/.8 514/.24 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV003084439 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:53:22Z |
| institution | BVB |
| isbn | 0821821741 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001933815 |
| oclc_num | 2346691 |
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| physical | VIII, 128 S. |
| psigel | TUB-www |
| publishDate | 1976 |
| publishDateSearch | 1976 |
| publishDateSort | 1976 |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Ize, Jorge 1946-2012 Verfasser (DE-588)1145426387 aut Bifurcation theory for Fredholm operators Jorge Ize Providence, RI 1976 VIII, 128 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 174 Volume 7, Number 174 (first of 4 numbers) Analise Funcional larpcal Differential equations, Nonlinear Numerical solutions Differential equations, Partial Numerical solutions Fredholm operators Homotopy groups Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Fredholm-Operator (DE-588)4155256-8 gnd rswk-swf Fredholm-Operator (DE-588)4155256-8 s Verzweigung Mathematik (DE-588)4078889-1 s DE-604 American Mathematical Society: Memoirs of the American Mathematical Society 174 (DE-604)BV008000141 174 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001933815&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ize, Jorge 1946-2012 Bifurcation theory for Fredholm operators American Mathematical Society: Memoirs of the American Mathematical Society Analise Funcional larpcal Differential equations, Nonlinear Numerical solutions Differential equations, Partial Numerical solutions Fredholm operators Homotopy groups Verzweigung Mathematik (DE-588)4078889-1 gnd Fredholm-Operator (DE-588)4155256-8 gnd |
| subject_GND | (DE-588)4078889-1 (DE-588)4155256-8 |
| title | Bifurcation theory for Fredholm operators |
| title_auth | Bifurcation theory for Fredholm operators |
| title_exact_search | Bifurcation theory for Fredholm operators |
| title_full | Bifurcation theory for Fredholm operators Jorge Ize |
| title_fullStr | Bifurcation theory for Fredholm operators Jorge Ize |
| title_full_unstemmed | Bifurcation theory for Fredholm operators Jorge Ize |
| title_short | Bifurcation theory for Fredholm operators |
| title_sort | bifurcation theory for fredholm operators |
| topic | Analise Funcional larpcal Differential equations, Nonlinear Numerical solutions Differential equations, Partial Numerical solutions Fredholm operators Homotopy groups Verzweigung Mathematik (DE-588)4078889-1 gnd Fredholm-Operator (DE-588)4155256-8 gnd |
| topic_facet | Analise Funcional Differential equations, Nonlinear Numerical solutions Differential equations, Partial Numerical solutions Fredholm operators Homotopy groups Verzweigung Mathematik Fredholm-Operator |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001933815&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT izejorge bifurcationtheoryforfredholmoperators |