In this paper we establish a multiplicity result for a second-order non-autonomous system. Using a variational principle of 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

IANNIZZOTTO, ANTONIO;
2006-01-01

Abstract

In this paper we establish a multiplicity result for a second-order non-autonomous system. Using a variational principle of 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.
2006
Multiple periodic solutions; Second-order non-autonomous system; Critical point theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/18441
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