Positive periodic solutions for a class of higher-dimensional state-dependent delay functional differential equations with feedback control

摘要

We use the Krasnosel'skii's fixed point theorem for cones to study the existence of positive periodic solutions of the following a class of higher-dimensional state-dependent delay functional differential equations with feedback controlẋ(t)=−A(t)x(t)+f(t,xt,x(t−τ(t,x(t))),u(t−α(t))),u̇(t)=−B(t)u(t)+C(t)x(h(t,x(t))).Moreover, we apply our results obtained in this paper to some population model.