Abstract
The aim of this paper is to show how the Morse-Conley theory can be applied to the study of periodic solutions of second-order Hamiltonian systems.
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References
Benci, V., ‘A new approach to the Morse-Conley theory’, to appear in Recent Advances in Hamiltonian Systems, G. F. Dell’ Antonio, ed.
Benci, V., ‘Some applications of the generalized Morse-Conley index’, Mathematics Research Center Technical Summary Report (1986) and to appear in Conferences del Seminario di Matematica dell’ Univefsita di Bari.
Benci V. and Longo, D., in preparation.
Conley, C. and Zehnder, E., ‘Morse type index theory for flows and periodic solutions for Hamiltonian equations’, Comm. Pure Appl. Math. 37 (1984), 207–253.
Ekeland, I., ‚Une théorie de Morse pour le systemes Hamiltoniens convexes‘, Ann. Inst. Henri Poincaré 1 (1984), 19–78.
Rabinowitz, P. H., ‘Minimax methods in critical point theory with applications to differential equations’, CBMS Regional Conf. Series in Math. 65, A.M.S., Providence, RI (1986).
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© 1987 D. Reidel Publishing Company
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Benci, V. (1987). Some Applications of the Morse-Conley Theory to the Study of Periodic Solutions of Second Order Conservative Systems. In: Rabinowitz, P.H., Ambrosetti, A., Ekeland, I., Zehnder, E.J. (eds) Periodic Solutions of Hamiltonian Systems and Related Topics. NATO ASI Series, vol 209. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3933-2_3
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DOI: https://doi.org/10.1007/978-94-009-3933-2_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8245-7
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