一类中立型泛函微分方程的周期解

PERIODIC SOLUTIONS OF A CLASS OF NEUTRAL TYPE FUNCTIONAL DIFERENTIAL EQUATION

本文考虑一类中立型微分差分方程利用矩阵测度结合不动点定理的方法，得到其周期解存在的充分性条件，所得定理改进或推广了［１－３］中的有关结果．

In this paper, we consider a class of neutral type differential diference equation x'(t) + Cx'(t- T) = A (t, x)x(t) + f(t, x(t- r)). By using the method of matrix measure and fined point thereom, we obtian the sufficient condition of the existence of its periodic solution. Our results has improve or expand the results in [1-3].