Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems

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作者
Chunhua Deng
Dong-Lun Wu
机构
[1] Huaiyin Institute of Technology,Faculty of Mathematics and Physics
[2] Southwest Petroleum University,College of Science
[3] Southwest Petroleum University,Institute of Nonlinear Dynamics
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关键词
Multiple Homoclinic solutions; Perturbed second order Hamiltonian systems; Superquadratic conditions; The (; ) condition; Variational methods;
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摘要
By introducing a new superquadratic condition, we obtain the existence of two nontrivial homoclinic solutions for a class of perturbed second order Hamiltonian systems which are obtained by the mountain pass theorem and Ekeland’s variational principle.
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