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Periodic solutions for some nonautonomous second order Hamiltonian systems
Authors:Yi-Wei Ye
Affiliation:a Department of Mathematics, Southwest University, Chongqing 400715, People's Republic of China
b Institute of Mathematical Science, Chinese University of Hong Kong, Hong Kong
Abstract:The existence and multiplicity of periodic solutions are obtained for nonautonomous second order Hamiltonian systems by the minimax methods in critical point theory.
Keywords:Periodic solution   Second order Hamiltonian system   Saddle Point Theorem   Generalized Mountain Pass Theorem   (PS) condition   Sobolev's inequality   Wirtinger's inequality
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