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Existence of homoclinic solutions for a class of neutral functional differential equations
Authors:Shi Ping Lu
Affiliation:1. College of Mathematics and Physics, Nanjing University of Information Science & Technology, Nanjing, 210044, P. R. China
Abstract:By means of Mawhin’s continuation theorem and some analysis methods, the existence of 2kT-periodic solutions is studied for a class of neutral functional differential equations, and then a homoclinic solution is obtained as a limit of a certain subsequence of the above periodic solutions set.
Keywords:Homoclinic solution   neutral functional differential equation   periodic solution   Mawhin's continuation theorem
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