Multiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systems

被引：0
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
来源：
Boundary Value Problems | / 2018卷
关键词：
Multiple Homoclinic solutions; Perturbed second order Hamiltonian systems; Superquadratic conditions; The (; ) condition; Variational methods;
D O I：
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学科分类号：
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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