Ground state homoclinic orbits of damped vibration problems

被引：11
|
作者：
Chen, Guan-Wei [1 ]
Wang, Jian [1 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China
来源：
BOUNDARY VALUE PROBLEMS | 2014年
关键词：
non-periodic damped vibration problems; ground state homoclinic orbits; superquadratic nonlinearity; 2ND-ORDER HAMILTONIAN-SYSTEMS; EXISTENCE; MULTIPLICITY;
D O I：
10.1186/1687-2770-2014-106
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a class of non-periodic damped vibration problems with superquadratic nonlinearities. We study the existence of nontrivial ground state homoclinic orbits for this class of damped vibration problems under some conditions weaker than those previously assumed. To the best of our knowledge, there has been no work focused on this case.
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页数：15
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