一类具有无穷时滞的中立型泛函微分方程的周期解

Periodic Solution for a Class of Neutral Type Functional Differential Equations with Infinite Delays

利用重合度理论中的延拓定理和Lyapunov泛函方法,获得了一类具有无穷时滞的中立型泛函微分方程(x(t))+cx(t-σ))′=A(t,x(t))x(t)+integral from n=-∞ to 0 f(t,s,x(t+s)ds+sum from i=1 to p fi(t,x(t-τi(t))))周期解的存在性和全局吸引性的一些容易验证的充分条件,推广和改进了已有文献的相关结果。

By using the coincidence degree theory and constructing suitable Lyapunov functional, some easily verifiable sufficient con- ditions are derived on the existence and global attractivity of periodic solution for a class of neutral type of functional differential equations The results have extended and improved the related reports in the literatures.