Periodic solution for a class of higher-dimension impulsive functional differential equations with parameter

In this paper, by employing a fixed-point theorem in cones, we study a kind of higher-dimension impulsive functional differential equation with parameter as follows: x' = A\left( t \right)x\left( t \right) + \lambda f\left( {t,x_t } \right),t \ne \tau _k , \Delta x|_{t = \tau _k } = I_k \left( {x\left( {\tau _k } \right)} \right),t = \tau _k ,k \in Z_+. some results on the existence of periodic solutions are obtained.