滞后型脉冲泛函微分方程有界性的Lyapunov逆定理

Converse Lyapunov Theorems on Boundedness of Impulsive Retarded Functional Differential Equations

本文通过建立滞后型脉冲泛函微分方程饱和解的存在唯一性定理,在广义常微分方程与滞后型脉冲泛函微分方程等价的基础上,研究了滞后型脉冲泛函微分方程关于一致有界性的Lyapunov逆定理.

In this paper,The authors established the theorem of the existence and uniqueness of maximal solution of impulsive retarded functional differential equations,and on the basis of the equivalence relationship between the generalized ordinary differential equations and impulsive retarded functional differential equations,the converse Lyapunov theorems on uniform boundedness of impulsive retarded functional differential equations are established.