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;
2006-01-01
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.File in questo prodotto:
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