滞后型测度泛函微分方程的变差稳定性  

Variational Stability for the Retarded Measure Functional Differential Equation

作　　者：李宝麟 刘静芳 LI Baolin;LIU Jingfang(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,Gansu)

机构地区：[1]西北师范大学数学与统计学院,甘肃兰州730070

出　　处：《四川师范大学学报（自然科学版）》2019年第2期184-193,共10页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11761063)

摘　　要：研究滞后型测度泛函微分方程的变差稳定性与变差渐近稳定性,利用广义常微分方程的稳定性理论,在滞后型测度泛函微分方程等价于广义常微分方程的基础上,获得滞后型测度泛函微分方程的变差稳定性与变差渐近稳定性定理.In this paper,we investigate the variational stability and variational-asymptotically stability for the retarded measure functional differential equation.By using the stability theory for generalized ordinary differential equation,under the condition that the retarded measure functional differential equation is equivalent to the generalized ordinary differential equation,variational stability and variationalasymptotically stability theorems for the retarded measure functional differential equation are obtained.

关 键 词：滞后型测度泛函微分方程 变差稳定性 变差渐近稳定性 广义常微分方程 

分 类 号：O175.12[理学—数学]