HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS

被引：0
作者：
Lu, Shiping [1 ,2 ]
Zheng, Liang [1 ]
Chen, Lijuan [1 ]
机构：
[1] Nanjing Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Jiangsu, Peoples R China
[2] Anhui Normal Univ, Dept Math, Wuhu 241003, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2013年 / 33卷 / 05期
基金：
中国国家自然科学基金;
关键词：
homoclinic solution; periodic solution; neutral functional differential system; Mawhin's continuation theorem; PERIODIC-SOLUTIONS; HAMILTONIAN-SYSTEMS; RAYLEIGH EQUATION; ORBITS; EXISTENCE; KIND;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By means of an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic solutions for a class of second order neutral functional differential systems is studied, and then the homoclinic solutions are obtained as the limit points of a certain subsequence of the above set.
引用
收藏
页码：1361 / 1374
页数：14
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