摘要
利用拓扑度理论研究一类具复杂偏差变元的微分方程[x(t)-kx(t-τ)]″=α(t)f(x(′t))+β(t)g(x(x(t)))+p(t)的周期解问题,得到了存在周期解的一些结果.
The existence of periodic solutions to a type of Rayleigh functional differential equation [x(t)-kx(t-τ)]″=α(t)f(x(′t))+β(t)g(x(x(t)))+p(t) with complex deviating argument is studied by means of the methods presented in topological degree theory, and sufficient conditions of the equation with solutions are obtained.
出处
《安徽师范大学学报(自然科学版)》
CAS
2008年第5期423-427,共5页
Journal of Anhui Normal University(Natural Science)
基金
安徽省自然科学基金(050460103)
安徽省教育厅自然科学研究基金重点项目(2005kj031zd)