中立型泛函微分方程与常微分方程解的渐近等价关系

THE ASYMPTOTIC EQUIVALENCE RELATION OF THE SOLUTIONS BETWEEN NFDE AND ODE

本文用 Krasnoselskii 不动点定理研究 NFDE 与 ODE 之间解的渐近等价关系,给出了 NFDE 与 ODE 之间解的渐近等价性以及解的渐近增长关系的充分条件,获得了较为一般的结论。

In this paper,We use Krasnoselskii's fixed Point theorem to discuss the asymptotic equivalence relation of the solutions between NFDE and ODE,and a sufficient condition for the asymptotic equiva- lence relation of the solutions between NFDE and ODE is given.