一类非自治微分积分方程的全局指数稳定性  

Global Exponential Stability of Non-autonomous Integro-differential Equation

作　　者：马超[1] 黎定仕[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《四川师范大学学报（自然科学版）》2014年第5期639-642,共4页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11271270和11201320)资助项目

摘　　要：主要研究一类非自治微分积分方程的全局指数稳定性.建立一个微分积分不等式,应用该微分积分不等式,得到一些使得该微分积分方程全局指数稳定的充分条件,给出一个例子来说明所得结果的有效性.In this paper,the global exponential stability of non-autonomous integro-differential equation is investigated.Firstly,a new integro-differential inequality is developed.Then by using the integro-differential inequality,some sufficient conditions are obtained to ensure the global exponential stability of any solution of non-autonomous integro-differential equation.An example is also discussed to illustrate the efficiency of the obtained results.

关 键 词：全局指数稳定 非自治 微分积分不等式 微分积分方程 时滞 

分 类 号：O175.1[理学—数学]