具系数扰动的非线性微分方程的一致渐进稳定的概周期解

The Existence of Uniformly Asymptotically Stable Almost Periodic Solution of Nonlinear Differential Equation with Coefficient Perturbation

考虑具系数扰动的非线性微分方程,利用指数型二分性及稳定性有关理论得到了该系统的概周期解的存在性、唯一性和稳定性,获得了一些新的结果.

Considering the nonlinear differential equations with coefficient perturbation and using exponential dichotomy and theories of stability, we obtain a new result that the system has a unique almost periodic solution which is uniformly asymptotically stable.