一类具有无穷时滞的非线性泛函微分方程解的渐近性态

The Asymptotic Behavior of Solutions of Certain Nonlinear Functional Differential Equations With infinite Delay

研究一般的具有无穷时滞的非线性泛函微分方程．通过建立与相关常微分方程的比较定理．给出了一类简洁的零解一致稳定性及解趋于常数的充分性判据．

The general nonlinear functional differential equations with infinite delay was investigated. At first. a comparison theory of solutions between the functional equations and the related ordinary differentioal equations was established. then the criteria t'Or the uniform stability of the zero solutions anf each solution tending to a constant was gubed. The main method is to construct monotone functions to deal with delay.