Displaying similar documents to “On three-periodic trajectories of multi-dimensional dual billiards.”

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.