A primer of nonlinear analysis:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge
1995
|
| Ausgabe: | 1. paperback ed. with corr. |
| Schriftenreihe: | Cambridge studies in advanced mathematics
34 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | VIII, 171 S. |
| ISBN: | 0521485738 9780521485739 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV013497357 | ||
| 003 | DE-604 | ||
| 005 | 20120229 | ||
| 007 | t | ||
| 008 | 001215s1995 |||| 00||| eng d | ||
| 020 | |a 0521485738 |9 0-521-48573-8 | ||
| 020 | |a 9780521485739 |9 978-0-521-48573-9 | ||
| 035 | |a (OCoLC)34275479 | ||
| 035 | |a (DE-599)BVBBV013497357 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-19 |a DE-11 |a DE-355 |a DE-188 |a DE-20 | ||
| 050 | 0 | |a QA321.5 | |
| 082 | 0 | |a 515.7248 | |
| 084 | |a SK 490 |0 (DE-625)143242: |2 rvk | ||
| 084 | |a SK 520 |0 (DE-625)143244: |2 rvk | ||
| 084 | |a SK 600 |0 (DE-625)143248: |2 rvk | ||
| 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 | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Cambridge studies in advanced mathematics |v 34 | |
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 7 | |a Calculo de variacoes |2 larpcal | |
| 650 | 4 | |a Nonlinear functional analysis | |
| 650 | 0 | 7 | |a Nichtlineare Funktionalanalysis |0 (DE-588)4042093-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Nichtlineare Analysis |0 (DE-588)4177490-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
| 689 | 0 | 0 | |a Nichtlineare Analysis |0 (DE-588)4177490-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Nichtlineare Funktionalanalysis |0 (DE-588)4042093-0 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Prodi, Giovanni |e Verfasser |4 aut | |
| 830 | 0 | |a Cambridge studies in advanced mathematics |v 34 |w (DE-604)BV000003678 |9 34 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-009213030 | ||
Datensatz im Suchindex
| _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 |
| author_variant | a a aa g p gp |
| building | Verbundindex |
| bvnumber | BV013497357 |
| callnumber-first | Q - Science |
| callnumber-label | QA321 |
| callnumber-raw | QA321.5 |
| callnumber-search | QA321.5 |
| callnumber-sort | QA 3321.5 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02056nam a2200505 cb4500</leader><controlfield tag="001">BV013497357</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20120229 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">001215s1995 |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0521485738</subfield><subfield code="9">0-521-48573-8</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780521485739</subfield><subfield code="9">978-0-521-48573-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)34275479</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV013497357</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-20</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA321.5</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515.7248</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 490</subfield><subfield code="0">(DE-625)143242:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 520</subfield><subfield code="0">(DE-625)143244:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 600</subfield><subfield code="0">(DE-625)143248:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Ambrosetti, Antonio</subfield><subfield code="d">1944-2020</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)111667070</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A primer of nonlinear analysis</subfield><subfield code="c">Antonio Ambrosetti ; Giovanni Prodi</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. paperback ed. with corr.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cambridge</subfield><subfield code="b">Cambridge</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 171 S.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">34</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Calculo de variacoes</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nonlinear functional analysis</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Funktionalanalysis</subfield><subfield code="0">(DE-588)4042093-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Nichtlineare Analysis</subfield><subfield code="0">(DE-588)4177490-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Nichtlineare Analysis</subfield><subfield code="0">(DE-588)4177490-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Nichtlineare Funktionalanalysis</subfield><subfield code="0">(DE-588)4042093-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Prodi, Giovanni</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Cambridge studies in advanced mathematics</subfield><subfield code="v">34</subfield><subfield code="w">(DE-604)BV000003678</subfield><subfield code="9">34</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-009213030</subfield></datafield></record></collection> |
| genre | (DE-588)4151278-9 Einführung gnd-content |
| 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 |
| oclc_num | 34275479 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-11 DE-355 DE-BY-UBR DE-188 DE-20 |
| owner_facet | DE-19 DE-BY-UBM DE-11 DE-355 DE-BY-UBR DE-188 DE-20 |
| 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 |
| work_keys_str_mv | AT ambrosettiantonio aprimerofnonlinearanalysis AT prodigiovanni aprimerofnonlinearanalysis |