二阶具分布时滞的泛函微分方程解的有界性

The Boundedness of Solutions of Second Order Functional Differential Equations with Distributed Delay

本文讨论二阶具分布时滞的泛函微分方程,利用不等式的估计得到了解的有界性比较定理。同时还运用李雅普诺夫泛函方法,给出一类二阶具分布时滞的泛函微分方程的有界性判别法则。

This paper deals with the second order functional differential equations with distributed delay. By using the inequality estimation we obtain the comparison theorem of the boundedness of solutions. At the same time, we discuss a special second order FDE with distributed delay and the criteria of the boundedness of solution is obtained by means of the Liapunov functional method.