Periodic solutions for a class of nonautonomous second order Hamiltonian systems☆

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Abstract

In this paper, some existence theorems of periodic solutions of a class of the nonautonomous second order Hamiltonian systemsx¨(t)−B(t)x(t)+∇H(t,x(t))=0,∀t∈[0,T], are obtained by a mountain pass theorem and a local link theorem.

Keywords

Hamiltonian systems
Periodic solutions
Mountain pass theorem
Local link

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This work is supported in part by the National Natural Science Foundation of China (10561011) and the Natural Science Foundation of Yunnan Province, China.

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