无限滞后脉冲测度微分方程的有界变差解  

Bounded Variation Solutions of Infinite Delay Impulsive Measure Differential Equations

作　　者：李宝麟 王转红 Li Baolin;Wang Zhuanhong(College of Mathematics and Statistics,Northwest Normal University,Lanzhou 730070,China)

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：《甘肃科学学报》2021年第5期29-34,共6页Journal of Gansu Sciences

基　　金：国家自然科学基金项目(11761063)。

摘　　要：研究无限滞后脉冲测度微分方程有界变差解的存在唯一性,通过梳理无限滞后脉冲测度微分方程在一定条件下与广义线性微分方程的关系,建立了一类无限滞后脉冲测度微分方程有界变差解的存在唯一性定理。This paper studies the existence and uniqueness of the bounded variation solutions of the infinite delay impulsive measure differential equation.Through the relationship between the infinite delay impulsive measure differential equation and the generalized linear differential equation under certain conditions,the existence and uniqueness theorem of the infinite delay impulsive measure differential equation is established.

关 键 词：无限滞后脉冲测度微分方程 广义线性微分方程 有界变差解 

分 类 号：O175.12[理学—数学]