Homoclinic solutions for a class of neutral Duffing differential systems

被引：1
|
作者：
Chen, Wenbin [1 ]
机构：
[1] Wu Yi Univ, Sch Math Sci & Comp, Wu Yishan 354300, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2014年
关键词：
homoclinic solution; continuation theorem; periodic solution; PERIODIC-SOLUTIONS;
D O I：
10.1186/1687-1847-2014-121
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
By using an extension of Mawhin's continuation theorem and some analysis methods, the existence of a set with 2kT-periodic for a n-dimensional neutral Duffing differential systems, (u(t) - Cu(t - tau))'' + beta(t)x' (t) + g(u(t - gamma(t))) = p(t), is studied. Some new results on the existence of homoclinic solutions is obtained as a limit of a certain subsequence of the above set. Meanwhile, C = [C-ij](nxn) is a constant symmetrical matrix and beta(t) is allowed to change sign.
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页数：13
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