A primer of nonlinear analysis:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge
Cambridge
1995
|
| Edition: | 1. paperback ed. with corr. |
| Series: | Cambridge studies in advanced mathematics
34 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | VIII, 171 S. |
| ISBN: | 0521485738 9780521485739 |
Staff View
MARC
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| 100 | 1 | |a Ambrosetti, Antonio |d 1944-2020 |e Verfasser |0 (DE-588)111667070 |4 aut | |
| 245 | 1 | 0 | |a A primer of nonlinear analysis |c Antonio Ambrosetti ; Giovanni Prodi |
| 250 | |a 1. paperback ed. with corr. | ||
| 264 | 1 | |a Cambridge |b Cambridge |c 1995 | |
| 300 | |a VIII, 171 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Cambridge studies in advanced mathematics |v 34 | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
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| 650 | 4 | |a Nonlinear functional analysis | |
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Record in the Search Index
| _version_ | 1804128287961645056 |
|---|---|
| adam_text | Contents
Preface
vii
0
Preliminaries and notation
1
1
Differential calculus
9
1
Frédiét
and Gateaux derivatives
9
2
Continuity and differentiability of Nemiteki operators
15
3
Higher derivatives
23
4
Partial derivatives, Taylor s formula
26
2
Local inversion theorems
30
1
The Local Inversion Theorem
30
2
The Implicit Function Theorem
36
3
A stability property of orbits
38
3
Global inversion theorems
45
1
The Global Inversion Theorem
45
2
Global inversion with singularities
55
Appenda
60
4 Semilinear
Dirichlet problems
61
1
Problems at resonance
62
2
Problems with asymmetric nonlinearities
71
5
Bifurcation results
79
vi
Contents
1
Introduction
79
2
Some elementary examples
82
3
The Lyapunov-Schmidt reduction
89
4
Bifurcation from the simple eigenvalue
91
5
A bifurcation theorem from a multiple eigenvalue
101
Appendix
104
6
Bifurcation problems
107
1
The rotating heavy string
107
2
The
Bénard
problem
112
3
Small oscillations for second-order dynamical systems
119
4
Water waves
123
5
Periodic solutions of
a
semilinear
hyperbolic equation
130
7
Bifurcation of periodic solutions
136
1
The
Hopf
bifurcation
136
2
Nonlinear oscillations of autonomous systems
139
3
The Lyapunov Centre Theorem
145
4
The restricted three-body problem
153
Problems
160
Bibliography
165
Index
170
|
| any_adam_object | 1 |
| author | Ambrosetti, Antonio 1944-2020 Prodi, Giovanni |
| author_GND | (DE-588)111667070 |
| author_facet | Ambrosetti, Antonio 1944-2020 Prodi, Giovanni |
| author_role | aut aut |
| author_sort | Ambrosetti, Antonio 1944-2020 |
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| building | Verbundindex |
| bvnumber | BV013497357 |
| callnumber-first | Q - Science |
| callnumber-label | QA321 |
| callnumber-raw | QA321.5 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 490 SK 520 SK 600 |
| ctrlnum | (OCoLC)34275479 (DE-599)BVBBV013497357 |
| dewey-full | 515.7248 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7248 |
| dewey-search | 515.7248 |
| dewey-sort | 3515.7248 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. paperback ed. with corr. |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV013497357 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:51Z |
| institution | BVB |
| isbn | 0521485738 9780521485739 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009213030 |
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| physical | VIII, 171 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Ambrosetti, Antonio 1944-2020 Verfasser (DE-588)111667070 aut A primer of nonlinear analysis Antonio Ambrosetti ; Giovanni Prodi 1. paperback ed. with corr. Cambridge Cambridge 1995 VIII, 171 S. txt rdacontent n rdamedia nc rdacarrier Cambridge studies in advanced mathematics 34 Hier auch später erschienene, unveränderte Nachdrucke Calculo de variacoes larpcal Nonlinear functional analysis Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd rswk-swf Nichtlineare Analysis (DE-588)4177490-5 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Nichtlineare Analysis (DE-588)4177490-5 s DE-604 Nichtlineare Funktionalanalysis (DE-588)4042093-0 s Prodi, Giovanni Verfasser aut Cambridge studies in advanced mathematics 34 (DE-604)BV000003678 34 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009213030&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ambrosetti, Antonio 1944-2020 Prodi, Giovanni A primer of nonlinear analysis Cambridge studies in advanced mathematics Calculo de variacoes larpcal Nonlinear functional analysis Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd |
| subject_GND | (DE-588)4042093-0 (DE-588)4177490-5 (DE-588)4151278-9 |
| title | A primer of nonlinear analysis |
| title_auth | A primer of nonlinear analysis |
| title_exact_search | A primer of nonlinear analysis |
| title_full | A primer of nonlinear analysis Antonio Ambrosetti ; Giovanni Prodi |
| title_fullStr | A primer of nonlinear analysis Antonio Ambrosetti ; Giovanni Prodi |
| title_full_unstemmed | A primer of nonlinear analysis Antonio Ambrosetti ; Giovanni Prodi |
| title_short | A primer of nonlinear analysis |
| title_sort | a primer of nonlinear analysis |
| topic | Calculo de variacoes larpcal Nonlinear functional analysis Nichtlineare Funktionalanalysis (DE-588)4042093-0 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd |
| topic_facet | Calculo de variacoes Nonlinear functional analysis Nichtlineare Funktionalanalysis Nichtlineare Analysis Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009213030&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003678 |
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