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INFINITELY MANY FAST HOMOCLINIC SOLUTIONS FOR SOME SECOND-ORDER NONAUTONOMOUS SYSTEMS

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成果类型:
期刊论文
作者:
Yang, Liu*;Luo, Liping;Luo, Zhenguo
通讯作者:
Yang, Liu
作者机构:
[Luo, Liping; Yang, Liu; Luo, Zhenguo] Hengyang Normal Univ, Hengyang, Peoples R China.
通讯机构:
[Yang, Liu] H
Hengyang Normal Univ, Hengyang, Peoples R China.
语种:
英文
关键词:
Hamiltonian System;Homoclinic Orbit;Weighted Sobolev Space;Homoclinic Solution;Positive Continuous Function
期刊:
Ukrainian Mathematical Journal
ISSN:
0041-5995
年:
2014
卷:
66
期:
3
页码:
454-466
基金类别:
Natural Science Foundation of the Hunan ProvinceNatural Science Foundation of Hunan Province [12JJ9001]; Hunan Provincial Science and Technology Department of the Science and Technology Project [2012SK3117]; Construct Program of Key Discipline in the Hunan Province
机构署名:
本校为第一且通讯机构
摘要:
We investigate the existence of infinitely many fast homoclinic solutions for a class of second-order nonautonomous systems. Our main tools are based on the variant fountain theorem. A criterion guaranteeing that the second-order system has infinitely many fast homoclinic solutions is obtained. Recent results from the literature are...

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