Homoclinic Solutions for A Class of Second Order Neutral Functional Differential Systems |
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Authors: | Shiping LU Liang ZHENG Lijuan CHEN |
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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 |
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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. |
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Keywords: | homoclinic solution periodic solution neutral functional differential system Mawhin's continuation theorem |
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