Periodic solutions to a second order nonlinear neutral functional differential equation in the critical case期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Periodic solutions to a second order nonlinear neutral functional differential equation in the critical case

Authors:	Shiping Lu Zhanjie Gui Weigao Ge

Affiliation:	1. Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui, PR China;2. Department of Mathematics, Hainan Normal University, Haikou 571158, PR China;3. Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, PR China

Abstract:	In this paper, the authors study the existence of periodic solutions for a second order neutral functional differential equation (x(t)-cx(t-τ))^″=f(x(t))x^′(t)+g(t,x(t-μ(t)))+e(t) $(x (t) - cx (t - τ))^{″} = f (x (t)) x^{'} (t) + g (t, x (t - μ (t))) + e (t)$ in the critical case \|c\|=1 $\| c \| = 1$ . By employing Mawhin's continuation theorem and some analysis techniques, sufficient conditions are given for the existence of periodic solutions.

Keywords:	34B15 34K13
本文献已被 ScienceDirect 等数据库收录！