Spectral theory and nonlinear functional analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall/CRC
2001
|
| Schriftenreihe: | Chapman & Hall CRC research notes in mathematics series
426 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 265 S. graph. Darst. |
| ISBN: | 1584882492 |
Internformat
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| 650 | 4 | |a Nonlinear functional analysis | |
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Datensatz im Suchindex
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| adam_text | JULIAN LOPEZ-GOMEZ SPECTRAL THEORY AND NONLINEAR FUNCTIONAL ANALYSIS
CHAPMAN & HALL/CRC BOCA RATON LONDON NEW YORK WASHINGTON, D.C. CONTENTS
PREFACE IX 1. INTRODUCTION 1 1.1 GENERAL ASSUMPTIONS AND BASIC CONCEPTS
2 1.2 SOME NEW RESULTS 6 1.3 HISTORICAL REMARKS 8 2. BIFURCATION FROM
SIMPLE EIGENVALUES 21 2.1 SIMPLE EIGENVALUES AND TRANSVERSALITY 22 2.2
THE THEOREM OF M. G. CRANDALL AND P. H. RABINOWITZ 27 2.3 LOCAL
BIFURCATION DIAGRAMS 32 2.4 THE EXCHANGE STABILITY PRINCIPLE 34 2.5
APPLICATIONS 43 2.5.1 A SIMPLE APPLICATION . 43 2.5.2 THE SELKOV
SCHEME FOR GLYCOLYSIS 46 3. FIRST GENERAL BIFURCATION RESULTS 69 3.1
LYAPUNOV-SCHMIDT REDUCTIONS 71 3.2 THE THEOREM OF J. IZE 75 3.3 THE
GLOBAL ALTERNATIVE OF P. H. RABINOWITZ 82 3.4 THE THEOREM OF D.
WESTREICH 83 4. THE ALGEBRAIC MULTIPLICITY 87 4.1 MOTIVATING THE CONCEPT
OF TRANSVERSALITY 89 4.2 TRANSVERSAL EIGENVALUES : 92 4.3 ALGEBRAIC
EIGENVALUES 105 4.4 ANALYTIC FAMILIES 119 4.5 SIMPLE DEGENERATE
EIGENVALUES 125 VIII CONTENTS 5. OTHER FUNDAMENTAL PROPERTIES OF THE
MULTIPLICITY 129 5.1 THE MULTIPLICITY OF R. J. MAGNUS 130 5.2 RELATIONS
BETWEEN % AND I 137 5.3 THE FUNDAMENTAL THEOREM 145 5.4 THE CLASSICAL
ALGEBRAIC MULTIPLICITY 148 5.5 FINITE DIMENSIONAL CHARACTERIZATIONS 154
5.6 THE PARITY OF THE CROSSING NUMBER 157 6. GLOBAL BIFURCATION THEORY
163 6.1 PRELIMINARIES 166 6.2 LOCAL BIFURCATION 168 6.3 GLOBAL BEHAVIOR
OF THE BOUNDED COMPONENTS 172 6.4 UNILATERAL GLOBAL BIFURCATION 179 6.5
UNILATERAL BIFURCATION FOR POSITIVE OPERATORS 190 7. APPLICATIONS 197
7.1 POSITIVE SOLUTIONS OF SEMILINEAR ELLIPTIC PROBLEMS 197 7.2
COEXISTENCE STATES FOR ELLIPTIC SYSTEMS 216 7.3 EXAMPLES 231 7.3.1
EXAMPLE 1 231 7.3.2 EXAMPLE 2 236 7.3.3 EXAMPLE 3 244 7.4 A FURTHER
APPLICATION 246 REFERENCES 251 INDEX 261
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| illustrated | Illustrated |
| indexdate | 2024-07-09T18:54:23Z |
| institution | BVB |
| isbn | 1584882492 |
| language | English |
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| physical | XII, 265 S. graph. Darst. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Chapman & Hall/CRC |
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| series | Chapman & Hall CRC research notes in mathematics series |
| series2 | Chapman & Hall CRC research notes in mathematics series |
| spelling | Loṕez-Goḿez, Juliań Verfasser aut Spectral theory and nonlinear functional analysis Julián López-Gómez Boca Raton [u.a.] Chapman & Hall/CRC 2001 XII, 265 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Chapman & Hall CRC research notes in mathematics series 426 Analyse fonctionnelle non linéaire Spectre (Mathématiques) Nonlinear functional analysis Spectral theory (Mathematics) Nichtlineare Analysis (DE-588)4177490-5 gnd rswk-swf Spektraltheorie (DE-588)4116561-5 gnd rswk-swf Nichtlineare Analysis (DE-588)4177490-5 s Spektraltheorie (DE-588)4116561-5 s DE-604 Chapman & Hall CRC research notes in mathematics series 426 (DE-604)BV012456897 426 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009523096&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Loṕez-Goḿez, Juliań Spectral theory and nonlinear functional analysis Chapman & Hall CRC research notes in mathematics series Analyse fonctionnelle non linéaire Spectre (Mathématiques) Nonlinear functional analysis Spectral theory (Mathematics) Nichtlineare Analysis (DE-588)4177490-5 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| subject_GND | (DE-588)4177490-5 (DE-588)4116561-5 |
| title | Spectral theory and nonlinear functional analysis |
| title_auth | Spectral theory and nonlinear functional analysis |
| title_exact_search | Spectral theory and nonlinear functional analysis |
| title_full | Spectral theory and nonlinear functional analysis Julián López-Gómez |
| title_fullStr | Spectral theory and nonlinear functional analysis Julián López-Gómez |
| title_full_unstemmed | Spectral theory and nonlinear functional analysis Julián López-Gómez |
| title_short | Spectral theory and nonlinear functional analysis |
| title_sort | spectral theory and nonlinear functional analysis |
| topic | Analyse fonctionnelle non linéaire Spectre (Mathématiques) Nonlinear functional analysis Spectral theory (Mathematics) Nichtlineare Analysis (DE-588)4177490-5 gnd Spektraltheorie (DE-588)4116561-5 gnd |
| topic_facet | Analyse fonctionnelle non linéaire Spectre (Mathématiques) Nonlinear functional analysis Spectral theory (Mathematics) Nichtlineare Analysis Spektraltheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009523096&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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