Periodic solutions of singular Lagrangian systems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boston u.a.
Birkhäuser
1993
|
| Schriftenreihe: | Progress in nonlinear differential equations and their applications
10 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 157 S. graph. Darst. |
| ISBN: | 0817636552 3764336552 |
Internformat
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 Periodic solutions of singular Lagrangian systems |c Antonio Ambrosetti ; Vittorio Coti Zelati |
| 264 | 1 | |a Boston u.a. |b Birkhäuser |c 1993 | |
| 300 | |a XII, 157 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Progress in nonlinear differential equations and their applications |v 10 | |
| 650 | 7 | |a Oscillations nonlinéaires |2 ram | |
| 650 | 7 | |a Point critique, théorie du (Analyse mathématique) |2 ram | |
| 650 | 7 | |a Systèmes dynamiques différentiables |2 ram | |
| 650 | 4 | |a Critical point theory (Mathematical analysis) | |
| 650 | 4 | |a Differentiable dynamical systems | |
| 650 | 4 | |a Nonlinear oscillations | |
| 650 | 0 | 7 | |a Kritischer Punkt |0 (DE-588)4140476-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Periodische Lösung |0 (DE-588)4199269-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differenzierbares dynamisches System |0 (DE-588)4137931-7 |2 gnd |9 rswk-swf |
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| 689 | 0 | 1 | |a Kritischer Punkt |0 (DE-588)4140476-2 |D s |
| 689 | 0 | 2 | |a Periodische Lösung |0 (DE-588)4199269-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Coti Zelati, Vittorio |e Sonstige |4 oth | |
| 830 | 0 | |a Progress in nonlinear differential equations and their applications |v 10 |w (DE-604)BV007934389 |9 10 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-005539412 | ||
Datensatz im Suchindex
| _version_ | 1804122776641994752 |
|---|---|
| adam_text | Contents
I Preliminaries 1
1 Lagrangian systems with smooth potentials .... 1
2 Models involving singular Lagrangians 3
2.a Kepler s problem 3
2.b A class of model potentials 6
2.c The N body problem 8
2.d Other problems arising in Celestial Me¬
chanics 9
2.e Electrical forces 10
3 Critical point theory 10
II Singular Potentials 19
4 The functional setting 19
4.a Prescribed period 20
4.b Fixed energy 21
5 The Strong Force assumption 25
6 Collision solutions 27
III The Strongly Attractive Case 31
7 The abstract setting 31
7.a The (PS) condition 35
7.b The topology of fe 38
7.c A critical point theorem 40
7.d Another critical point theorem 41
8 Existence of periodic solutions 43
8.a Even and planar potentials 45
8.b The general case 47
vi CONTENTS
9 Repulsive potentials 51
IV The Weakly Attractive Case 57
10 Weak solutions 57
11 Existence of weak solutions 64
12 Regularity of weak solutions 68
13 Local assumptions 73
14 Global assumptions 79
V Orbits with Prescribed Energy 87
15 Strongly attractive potentials 88
16 Weakly attractive potentials 92
16.a A modified variational principle 92
16.b Existence of closed orbits 95
17 Symmetric potentials 104
VI The N Body Problem 113
18 The N body equation 113
19 Even potentials 115
20 The general case 119
21 Fixed energy 122
VII Perturbation Results 129
22 A perturbation result in critical point theory . . .130
23 T periodic solutions 131
24 First order systems 137
25 Solutions of prescribed energy 142
26 Restricted N Body problems 144
|
| any_adam_object | 1 |
| author | Ambrosetti, Antonio 1944-2020 |
| author_GND | (DE-588)111667070 |
| author_facet | Ambrosetti, Antonio 1944-2020 |
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| callnumber-raw | QA614.8 |
| callnumber-search | QA614.8 |
| callnumber-sort | QA 3614.8 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 350 SK 620 |
| classification_tum | PHY 013f MAT 352f |
| ctrlnum | (OCoLC)28412798 (DE-599)BVBBV008409825 |
| dewey-full | 515/.355 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.355 |
| dewey-search | 515/.355 |
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| dewey-tens | 510 - Mathematics |
| discipline | Physik Mathematik |
| format | Book |
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| id | DE-604.BV008409825 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T17:19:15Z |
| institution | BVB |
| isbn | 0817636552 3764336552 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005539412 |
| oclc_num | 28412798 |
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| physical | XII, 157 S. graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Birkhäuser |
| record_format | marc |
| series | Progress in nonlinear differential equations and their applications |
| series2 | Progress in nonlinear differential equations and their applications |
| spelling | Ambrosetti, Antonio 1944-2020 Verfasser (DE-588)111667070 aut Periodic solutions of singular Lagrangian systems Antonio Ambrosetti ; Vittorio Coti Zelati Boston u.a. Birkhäuser 1993 XII, 157 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Progress in nonlinear differential equations and their applications 10 Oscillations nonlinéaires ram Point critique, théorie du (Analyse mathématique) ram Systèmes dynamiques différentiables ram Critical point theory (Mathematical analysis) Differentiable dynamical systems Nonlinear oscillations Kritischer Punkt (DE-588)4140476-2 gnd rswk-swf Periodische Lösung (DE-588)4199269-6 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 gnd rswk-swf Differenzierbares dynamisches System (DE-588)4137931-7 s Kritischer Punkt (DE-588)4140476-2 s Periodische Lösung (DE-588)4199269-6 s DE-604 Coti Zelati, Vittorio Sonstige oth Progress in nonlinear differential equations and their applications 10 (DE-604)BV007934389 10 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005539412&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ambrosetti, Antonio 1944-2020 Periodic solutions of singular Lagrangian systems Progress in nonlinear differential equations and their applications Oscillations nonlinéaires ram Point critique, théorie du (Analyse mathématique) ram Systèmes dynamiques différentiables ram Critical point theory (Mathematical analysis) Differentiable dynamical systems Nonlinear oscillations Kritischer Punkt (DE-588)4140476-2 gnd Periodische Lösung (DE-588)4199269-6 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| subject_GND | (DE-588)4140476-2 (DE-588)4199269-6 (DE-588)4137931-7 |
| title | Periodic solutions of singular Lagrangian systems |
| title_auth | Periodic solutions of singular Lagrangian systems |
| title_exact_search | Periodic solutions of singular Lagrangian systems |
| title_full | Periodic solutions of singular Lagrangian systems Antonio Ambrosetti ; Vittorio Coti Zelati |
| title_fullStr | Periodic solutions of singular Lagrangian systems Antonio Ambrosetti ; Vittorio Coti Zelati |
| title_full_unstemmed | Periodic solutions of singular Lagrangian systems Antonio Ambrosetti ; Vittorio Coti Zelati |
| title_short | Periodic solutions of singular Lagrangian systems |
| title_sort | periodic solutions of singular lagrangian systems |
| topic | Oscillations nonlinéaires ram Point critique, théorie du (Analyse mathématique) ram Systèmes dynamiques différentiables ram Critical point theory (Mathematical analysis) Differentiable dynamical systems Nonlinear oscillations Kritischer Punkt (DE-588)4140476-2 gnd Periodische Lösung (DE-588)4199269-6 gnd Differenzierbares dynamisches System (DE-588)4137931-7 gnd |
| topic_facet | Oscillations nonlinéaires Point critique, théorie du (Analyse mathématique) Systèmes dynamiques différentiables Critical point theory (Mathematical analysis) Differentiable dynamical systems Nonlinear oscillations Kritischer Punkt Periodische Lösung Differenzierbares dynamisches System |
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| volume_link | (DE-604)BV007934389 |
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