一类具有偏差变元的高阶中立型Lienard方程周期解的存在性

Existence of Periodic Solutions for a Kind of Hihg-order Neutral Lienard Equation with a Deviating Argument

利用重合度理论和不等式分析技巧,获得了一类具有偏差变元的高阶中立型Lienard方程(x(t)-cx(t-δ))^((m))+f(x(t))x′(t)+β(t)g(x(t-T(t)))=p(t)周期解存在性的新充分条件,推广和改进了已有文献的相关结论.

In this paper, by employing continuation theorem of coincidence degree theory, some new sufficient condition of the existence of periodic solutions for a kind of high-order neutral Lienard equations with a deviating argument are obtained. The results have extended and improved the related reports in the literatures.