In this paper we establish a multiplicity result for a second order nonautonomous system. By using a variational principle by B. Ricceri we prove that if the set of global minima of a certain function has at least $k$ connected components then our problem has at least $k$ periodic solutions. Moreover, the existence of one more solution is investigated through a mountain pass-like argument.

A multiplicity theorem for a perturbed second order nonautonomous system

FARACI, FRANCESCA;
2006

Abstract

In this paper we establish a multiplicity result for a second order nonautonomous system. By using a variational principle by B. Ricceri we prove that if the set of global minima of a certain function has at least $k$ connected components then our problem has at least $k$ periodic solutions. Moreover, the existence of one more solution is investigated through a mountain pass-like argument.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/6056
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