滞后型泛函微分方程解的次一致渐近稳定性

SUB-UNIFORMLY ASYMPTOTIC STABILITY OFSOLUTIONS TO RETARDED FUNCTIONALDIFFERENTIAL EQUATIONS

用泛函方法讨论滞后型泛函微分方程解的稳定性，用泛函Ｖ（ｔ，）的某种弱增性代替普通的定正和无穷小上界条件，给出了平凡解强渐近稳定和次一致渐近稳定的判别准则．从而推广了以前的结果．

This paper discuss the stability of the trivial solution to RetardedFunctional Differential Equations by means of Liapunov’s functional and estab-lish the theorems on subuniformly asymptotic stability of the trivial solutionunder the weaker condition that V(t) is weakly increasing.Thus original re-sults are generalized.