By employing Mawhin’s continuation theorem and some analytic techniques, we study the existence of periodic solutions to a kind of neutral functional differential equation with delays. Our results generalize the corresponding ones of known litera-ture.
Guo Lixiang1, Lu Shiping1, Du Bo2, Liang Feng1 (1. Dept. of Math., Anhui Normal University, Wuhu 241000, Anhui
By using the theory of coincidence degree, we study a kind of periodic solutions to second order differential equation with a deviating argument such as x″（t） ＋ f（x′（t）） ＋ h（x（t））x′（t） ＋ g（x（t - τ（t））） ≈ p（t）, some sufficient conditions on the existence of periodic solutions are obtained.
