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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: 661-672
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Category: math
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MSC: 34C25
MSC: 58E05
MSC: 58F05
MSC: 58F22
idZBL: Zbl 0678.34052
idMR: MR928681
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Date available: 2008-06-05T21:30:51Z
Last updated: 2012-04-28
Stable URL: http://hdl.handle.net/10338.dmlcz/106580
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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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