一类具有分布时滞的退化中立型微分系统的周期解

Periodic Solution of Functional Differential Equations with Distributed Delay

利用不动点定理讨论了一类具有分布时滞的退化中立型微分系统:E(t)d/dt[x(t)+∫0-τB(s)x(t+s)ds]=A(t)x(t)+f(t,x(t-r(t)))的周期解,得到了周期解存在的充分条件.

By using the fixed point theorem, we consider periodic solution of functional differentialequations with distributed delay：E（t）d/dt[x（t）＋∫0-τB（s）x（t＋s）ds]=A（t）x（t）＋∫（t,x（t-r（t）））, some sufficient conditions are obtained.