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

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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. 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-Ping1,2*, ZHENG Liang1, CHEN Li-Juan1   

  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
  • 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:

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:

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.

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

中图分类号: 

  • 34C37