In this paper, higher dimensional delay differential equations of the form x′(t)=A(t,x(t))x(t)+f(t,x(t-r(t))) are considered, where the n×n matrix A(t,x) and the n vector f(t,x) are continuous in (t,x)∈R×Rn,r(t) is a delay depending on time t . Using fixed point method, existence and uniqueness of periodic solutions to the above system are proved under defined conditions. |