Title:
|
Remarks on periodic solutions, with prescribed energy, for singular Hamiltonian systems (English) |
Author:
|
Greco, Carlo |
Language:
|
English |
Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
ISSN:
|
0010-2628 (print) |
ISSN:
|
1213-7243 (online) |
Volume:
|
28 |
Issue:
|
4 |
Year:
|
1987 |
Pages:
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661-672 |
. |
Category:
|
math |
. |
MSC:
|
34C25 |
MSC:
|
58E05 |
MSC:
|
58F05 |
MSC:
|
58F22 |
idZBL:
|
Zbl 0678.34052 |
idMR:
|
MR928681 |
. |
Date available:
|
2008-06-05T21:30:51Z |
Last updated:
|
2012-04-28 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/106580 |
. |
Reference:
|
[1] A. AMBROSETTI: Sistemi dinamici con potenziali singolari.Proc. of Recent advances in Hamiltoman systems, L'Aquila, June 1986. |
Reference:
|
[2] A. AMBROSETTI V. COTI ZELATI: Critical points with lack of compactness and singular dynamical systems.preprint Scuola Normale Superiore, Pisa, Nov. 1986. MR 0932787 |
Reference:
|
[3] A. CAPOZZI C. GRECO A. SALVATORE: Lagrangian systems in presence of singularities.preprint. MR 0915729 |
Reference:
|
[4] E. A. CODDINGTON N. LEVINSON: The theory of ordinary differential equations.Mc Graw-Hill, New York 1955. MR 0069338 |
Reference:
|
[5] H. GLUCK W. ZILLER: Existence of periodic motions of conservative systems, in Seminar on Minimal Submanifolds.E. Bombieri Ed., Princeton Univ. Press, 1983. MR 0795229 |
Reference:
|
[6] W. B. GORDON: Conservative dynamical systems involving strong forces.Trans. A. M. S. 204 (1975), 113-135. Zbl 0276.58005, MR 0377983 |
Reference:
|
[7] W. B. GORDON: Very strong forces.in Selected Studies: physics-astrophysics, math. hist, of science, 79-91, North-Holland, Amsterdam, New York, 1982. Zbl 0498.70028, MR 0662853 |
Reference:
|
[8] C. GRECO: Periodic solutions of a class of singular Hamlltonian systems.to appear in Nonlinear Analysis T.M.A. MR 0928560 |
Reference:
|
[9] K. HAYASHІ: Periodic solutions of classical Hamiltonian systems.Tokyo J. Math. 6 (2) (1983), 473-486. |
Reference:
|
[10] M. KLINGENBERG: Lectures on closed geodesics.Springer, New York 1978. Zbl 0397.58018, MR 0478069 |
Reference:
|
[11] O. R. RUІZ: Existenct of brake oгbits in Finsler mechanical systems.in Lect. Notes in Math. 597, Springer 1977. |
Reference:
|
[12] H. SEIFERT: Periodische Bewegungen mechanischer Systsme.Math. Z. 51 (1948), 197-216. MR 0025693 |
Reference:
|
[13] A. WEINSTEIN: Periodic orbits for convex hamiltonian systems.Annals of Math. 108 (1978), 507-518. Zbl 0403.58001, MR 0512430 |
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