Exponential Stability of Quasi-Linear Non-Autonomous Differential Equations in Banach Spaces
会议名称：《第二十七届中国控制会议》
会议日期：2008年
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：supported by Science Foundation of Sichuan Province
关 键 词：Exponential stability Quasi-linear differential equation Evolution family
摘 要：This paper is concerned with the exponential stability of the zero solution of a quasi-linear differential equation in a Banach space,it is proved that the quasi-linear non-autonomous differential equation is exponentially stable if and only if the associated linear non-autonomous differential equation is exponentially stable.