Ming Ke HE
In this paper, we cosider the neutral higher dimensional periodic system:Where (t, x) ∈ R ×Rn, the n×n matrix A(t, x) is continuous, xt ∈C([-r, 0], Rn),xt(9) = x(t + θ), 0 E [-r, 0], denote C = C([-r, 0], Rn), f. R ×C→ Rn is continuous,furthermore A(t + T, x) = A(t, x)∈(t,x) E R ×Rn, f(t + T, ) = f(t,),(t,) ER × C, T, r > 0, c ∈R. Using fixed point method, we get some sufficient conditionsto guarantee the existence and uniqueness of T-periodic solutions for the system. Thecorresponding results in [1-3] are extended and improved.