A topological introduction to nonlinear analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boston [u.a.]
Birkhäuser
2004
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XI, 184 S. graph. Darst. |
| ISBN: | 0817632581 3764332581 |
Staff View
MARC
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| 245 | 1 | 0 | |a A topological introduction to nonlinear analysis |c Robert F. Brown |
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Record in the Search Index
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|---|---|
| adam_text | Contents
Preface ix
Part I Fixed Point Existence Theory
1 The Topological Point of View 3
2 Ascoli Arzela Theory 9
3 Brouwer Fixed Point Theory 19
4 Schauder Fixed Point Theory 23
5 The Forced Pendulum 29
6 Equilibrium Heat Distribution 39
7 Generalized Bernstein Theory 45
Part II Degree Theory
8 Brouwer Degree 51
9 Properties of the Brouwer Degree 55
10 Leray Schauder Degree 63
11 Properties of the Leray Schauder Degree 69
12 TheMawhin Operator 79
13 The Pendulum Swings Back 85
viii Contents
Part III Bifurcation Theory
14 A Separation Theorem 95
15 Compact Linear Operators 99
16 The Degree Calculation 111
17 The Rrasnoselskii Rabinowitz Bifurcation Theorem 119
18 Nonlinear Sturm Liouville Theory 133
19 More Sturm Liouville Theory 143
20 Euler Buckling 155
PartIV Appendices
A Singular Homology 163
B Additivity and Product Properties 169
C Bounded Linear Transformations 175
References 181
Index 183
|
| any_adam_object | 1 |
| author | Brown, Robert F. 1935- |
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| classification_rvk | SK 600 |
| ctrlnum | (OCoLC)53485269 (DE-599)BVBBV017701533 |
| dewey-full | 515/.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.7 |
| dewey-search | 515/.7 |
| dewey-sort | 3515 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T19:20:56Z |
| institution | BVB |
| isbn | 0817632581 3764332581 |
| language | English |
| lccn | 2003065980 |
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| physical | XI, 184 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Brown, Robert F. 1935- Verfasser (DE-588)171992199 aut A topological introduction to nonlinear analysis Robert F. Brown 2. ed. Boston [u.a.] Birkhäuser 2004 XI, 184 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Nonlinear functional analysis Nichtlineare Analysis (DE-588)4177490-5 gnd rswk-swf Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd rswk-swf Topologie (DE-588)4060425-1 gnd rswk-swf Nichtlineare Funktionalanalysis (DE-588)4042093-0 s DE-604 Nichtlineare Analysis (DE-588)4177490-5 s Topologie (DE-588)4060425-1 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010642214&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, Robert F. 1935- A topological introduction to nonlinear analysis Nonlinear functional analysis Nichtlineare Analysis (DE-588)4177490-5 gnd Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Topologie (DE-588)4060425-1 gnd |
| subject_GND | (DE-588)4177490-5 (DE-588)4042093-0 (DE-588)4060425-1 |
| title | A topological introduction to nonlinear analysis |
| title_auth | A topological introduction to nonlinear analysis |
| title_exact_search | A topological introduction to nonlinear analysis |
| title_full | A topological introduction to nonlinear analysis Robert F. Brown |
| title_fullStr | A topological introduction to nonlinear analysis Robert F. Brown |
| title_full_unstemmed | A topological introduction to nonlinear analysis Robert F. Brown |
| title_short | A topological introduction to nonlinear analysis |
| title_sort | a topological introduction to nonlinear analysis |
| topic | Nonlinear functional analysis Nichtlineare Analysis (DE-588)4177490-5 gnd Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Topologie (DE-588)4060425-1 gnd |
| topic_facet | Nonlinear functional analysis Nichtlineare Analysis Nichtlineare Funktionalanalysis Topologie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010642214&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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