关于概自守微分方程

On Almost-Automorphic Differential Equations

本文主要考虑含有“快”时间 f 和“慢”时间εt 的一类概自守微分方程系的概自守解的存在性问题.在某些条件下,利用不动点方法和平均值法证明了这类方程系具有概自守解.在所得的结果中,定理2比文[1]中的定理3.2更为一般化.

This paper centers on the existence of an almost-automorphic solution of some almost-automorphic differential systems with“fast”time t and“slow” time εt.Under certain condition,these systems are proved by fixed point method and mean value method to have almost-automorphic solution.In the results obtained,theorem 2 extends theorem 3.2 in literature[1].