滞后型测度泛函微分方程的变差稳定性

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英文篇名：Variational Stability for the Retarded Measure Functional Differential Equation 作者：李宝麟 ; 刘静芳 英文作者：LI Baolin;LIU Jingfang;College of Mathematics and Statistics,Northwest Normal University; 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 英文关键词：retarded measure FDE;;variational stability;;variational-asymptotically stability;;generalized ODE 中文刊名：SCSD 英文刊名：Journal of Sichuan Normal University(Natural Science) 机构：西北师范大学数学与统计学院; 出版日期：2019-03-20 出版单位：四川师范大学学报(自然科学版) 年：2019 期：v.42 基金：国家自然科学基金(11761063) 语种：中文; 页：SCSD201902007 页数：10 CN：02 ISSN：51-1295/N 分类号：46-55

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.

引文

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