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

页码：1361 / 1374

页数：14

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