Homoclinic and periodic orbits for hamiltonian systems
Patricio L. Felmer, Elves A. de B. Silva (1998)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Displaying similar documents to “Multiple periodic solutions for Hamiltonian systems with singular potential”
Homoclinic and periodic orbits for hamiltonian systems
Periodic solutions for a class of autonomous hamiltonian systems
H. Beirão da Veiga (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Multiple periodic solutions of some forced hamiltonian systems and the generalized saddle point theorem.
Mohsen Timoumi (1992)
Collectanea Mathematica
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A note on nontrivial periodic solutions of dynamical systems with subquadratic potential.
L. Sánchez (1994)
Revista Matemática de la Universidad Complutense de Madrid
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We obtain non-constant periodic solutions for a class of second-order autonomous dynamic systems whose potential is subquadratic at infinity. We give a theorem on conjugate points for convex potentials.
On periodic solutions of a class of second order nonautonomous systems with nonhomogeneous potentials indefinite in sign
M. Matzeu, M. Girardi (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Existence of -periodic solutions for a class of lagrangian systems
Elvira Mirenghi, Maria Tucci (1990)
Rendiconti del Seminario Matematico della Università di Padova
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Periodic Solutions of Second Order Nonautonomous Systems with the Potentials Changing Sign
Mario Girardi, Michele Matzeu (1993)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Some existence and multiplicity results for periodic solutions of second order nonautonomous systems with the potentials changing sign are presented. The proofs of the existence results rely on the use of a linking theorem and the Mountain Pass theorem by Ambrosetti and Rabinowitz [2]. The multiplicity results are deduced by the study of constrained critical points of minimum or Mountain Pass type.