广义指数型二分性一个判别法和有界解存在性

A Criterion for Generalized Exponential Dichotomy and Existence of Bounded Solution

该文给出线性系统 dxdt=A( t) x具有广义指数型二分性一个充分条件 ,作为应用研究非线性扰动系统的有界解的存在性 .推广了 [1 ]与 [2

In this paper, the authors provide a sufficient condition for the generalized exponential dichotomy of a linear system d x d t=A(t)x. As an application, the authors study the existence of bounded solutions of a nonlinear perturbed equation. The results generalize those given in and .