具系数扰动的非线性微分方程的一致稳定的概周期解的存在性

The Existence of Uniformly 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．

After considering the nonlinear differential equation with coefficient perturbation, we have obtained the theorem which guarantees the existence of the unique uniformly stable almost periodic solution for the system by using exponential dichotomy and theories of stability.