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

doi:10.1016/S0252-9602(13)60087-9

数学物理学报(英文版) ›› 2013, Vol. 33 ›› Issue (5): 1361-1374.doi: 10.1016/S0252-9602(13)60087-9

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

鲁世平^1,2*|郑亮¹|陈丽娟¹

1. College of Mathematics and Statistics, Nanjing Information Science and Technology, Nanjing 210044, China
2. Department of Mathematics, Anhui Normal University, Wuhu 241003, China

收稿日期:2011-10-28 修回日期:2012-12-20 出版日期:2013-09-20 发布日期:2013-09-20
通讯作者: 鲁世平，lushiping88@sohu.com E-mail:lushiping88@sohu.com; zhangliang19870501@126.com; cljung@sohu.com
基金资助:
This work was sponsored by the National Natural Science Foundation of China (11271197), the Science and Technology Foundation in Ministry of Education of China (207047) and the Science Foundation of NUIST of China (20090202 and 2012r101).

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

LU Shi-Ping^1,2*, ZHENG Liang¹, CHEN Li-Juan¹

1. College of Mathematics and Statistics, Nanjing Information Science and Technology, Nanjing 210044, China
2. Department of Mathematics, Anhui Normal University, Wuhu 241003, China

Received:2011-10-28 Revised:2012-12-20 Online:2013-09-20 Published:2013-09-20
Contact: LU Shi-Ping，lushiping88@sohu.com E-mail:lushiping88@sohu.com; zhangliang19870501@126.com; cljung@sohu.com
Supported by:
This work was sponsored by the National Natural Science Foundation of China (11271197), the Science and Technology Foundation in Ministry of Education of China (207047) and the Science Foundation of NUIST of China (20090202 and 2012r101).

摘要/Abstract

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.

关键词: homoclinic solution, periodic solution, neutral functional differential system, Mawhin´s continuation theorem

Abstract:

Key words: homoclinic solution, periodic solution, neutral functional differential system, Mawhin´s continuation theorem

中图分类号:

34C37

鲁世平, 郑亮, 陈丽娟. HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS[J]. 数学物理学报(英文版), 2013, 33(5): 1361-1374.

LU Shi-Ping, ZHENG Liang, CHEN Li-Juan. HOMOCLINIC SOLUTIONS FOR A CLASS OF SECOND ORDER NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEMS[J]. Acta mathematica scientia,Series B, 2013, 33(5): 1361-1374.

参考文献

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

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

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