Nonperiodic Damped Vibration Systems with Asymptotically Quadratic Terms at Infinity: Infinitely Many Homoclinic Orbits

被引：6
|
作者：
Chen, Guanwei [1 ]
机构：
[1] Anyang Normal Univ, Sch Math & Stat, Anyang 455000, Henan, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
关键词：
2ND-ORDER HAMILTONIAN-SYSTEMS; INDEFINITE FUNCTIONALS; EXISTENCE; MULTIPLICITY; THEOREMS;
D O I：
10.1155/2013/937128
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study a class of nonperiodic damped vibration systems with asymptotically quadratic terms at infinity. We obtain infinitely many nontrivial homoclinic orbits by a variant fountain theorem developed recently by Zou. To the best of our knowledge, there is no result published concerning the existence (or multiplicity) of nontrivial homoclinic orbits for this class of non-periodic damped vibration systems with asymptotically quadratic terms at infinity.
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页数：7
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