一类具状态依赖时滞的高维非自治微分方程正周期解的存在性

摘要

利用Krasnoselskii's锥不动点定理研究了具状态依赖时滞的一类高维非自治微分方程x(t)=A(t)x(t)+f(t,x(t-τ(t,x(t))))的周期正解的存在性.%In this paper, we employ Krasnoselskii's fixed point theorem in cones to study the existence of positive periodic solutions of a class of high - dimensional nonautonomous state - dependent delay differential equations in form of x(t) = A(t)x(t) + f(t,x(t - τ(t,x(t)))).