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Periodic Solutions to a Kind of Second Order Neutral Functional Differential Equation in the Critical Case 被引量:1

Periodic Solutions to a Kind of Second Order Neutral Functional Differential Equation in the Critical Case
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摘要 In this paper, the authors consider the existence of periodic solutions for a kind of second neutral functional differential equation as follows:(x(t) - cx(t -τ)" = g(t, x(t - μ(t))) + e(t),in the critical case |c| = 1. By employing Mawhin's continuation theorem and some analysis techniques, some new results are obtained. In this paper, the authors consider the existence of periodic solutions for a kind of second neutral functional differential equation as follows:(x(t) - cx(t -τ)" = g(t, x(t - μ(t))) + e(t),in the critical case |c| = 1. By employing Mawhin's continuation theorem and some analysis techniques, some new results are obtained.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第5期1149-1158,共10页 数学学报(英文版)
基金 Supported by the National Natural Science Foundation(19871005 10371006) the Natural Science Foundation of Auhui Province of China(050460103 2005kj301ZD)
关键词 Periodic solution Mawhin's continuation theorem Neutral functional differential equation in the critical case Periodic solution, Mawhin's continuation theorem, Neutral functional differential equation in the critical case
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