Research Catalog
Periodic solutions of singular Lagrangian systems
- Title
- Periodic solutions of singular Lagrangian systems / Antonio Ambrosetti, Vittorio Coti Zelati.
- Author
- Ambrosetti, A. (Antonio)
- Publication
- Boston : Birkhäuser, ©1993.
Items in the Library & Off-site
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1 Item
| Status | Format | Access | Call Number | Item Location |
|---|---|---|---|---|
| Text | Use in library | QA614.8 .A45 1993 | Off-site |
Details
- Additional Authors
- Coti Zelati, Vittorio, 1956-
- Description
- xii, 157 pages : illustrations; 25 cm.
- Series Statement
- Progress in nonlinear differential equations and their applications ; v. 10
- Uniform Title
- Progress in nonlinear differential equations and their applications ; v. 10.
- Subject
- Differentiable dynamical systems
- Nonlinear oscillations
- Critical point theory (Mathematical analysis)
- Critical point theory
- Differenzierbares dynamisches System
- Kritischer Punkt
- Periodische Lösung
- Systèmes dynamiques différentiables
- Oscillations nonlinéaires
- Point critique, théorie du (Analyse mathématique)
- Bibliography (note)
- Includes bibliographical references (p. [149]-157).
- Contents
- I. Preliminaries -- 1. Lagrangian systems with smooth potentials -- 2. Models involving singular Lagrangians -- 3. Critical point theory -- II. Singular Potentials -- 4. The functional setting -- 5. The Strong Force assumption -- 6. Collision solutions -- III. The Strongly Attractive Case -- 7. The abstract setting -- 8. Existence of periodic solutions -- 9. Repulsive potentials -- IV. The Weakly Attractive Case -- 10. Weak solutions -- 11. Existence of weak solutions -- 12. Regularity of weak solutions -- 13. Local assumptions -- 14. Global assumptions -- V. Orbits with Prescribed Energy -- 15. Strongly attractive potentials -- 16. Weakly attractive potentials -- 17. Symmetric potentials -- VI. The N-Body Problem -- 18. The N-body equation -- 19. Even potentials -- 20. The general case -- 21. Fixed energy -- VII. Perturbation Results -- 22. A perturbation result in critical point theory -- 23. T-periodic solutions -- 24. First order systems -- 25. Solutions of prescribed energy -- 26. Restricted N-Body problems.
- ISBN
- 0817636552
- 9780817636555
- 3764336552
- 9783764336554
- LCCN
- 93024376
- OCLC
- ocm28412798
- 28412798
- SCSB-9078494
- Owning Institutions
- Princeton University Library