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Homoclinic Solutions for A Class of Second Order Neutral Functional Differential Systems
Authors:Shiping LU  Liang ZHENG  Lijuan CHEN
Institution:1. College of Mathematics and Statistics, Nanjing Information Science and Technology, Nanjing 210044, China;2. Department of Mathematics, Anhui Normal University, Wuhu 241003, China
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.
Keywords:homoclinic solution  periodic solution  neutral functional differential system  Mawhin's continuation theorem
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