滞后型测度泛函微分方程解的有界性  

BOUNDEDNESS OF SOLUTIONS FOR RETARDED MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS

作　　者：李宝麟 杨银杏 LI Bao-lin;YANG Yin-xing(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：《数学杂志》2021年第5期449-457,共9页Journal of Mathematics

基　　金：国家自然科学基金(11761063)。

摘　　要：本文研究了滞后型测度泛函微分方程解的有界性问题.通过滞后型测度泛函微分方程在一定条件下与广义常微分方程的等价关系,利用广义常微分方程解的有界性,获得了滞后型测度泛函微分方程解的有界性结果.In this paper,we investigate the boundedness for retarded measure functional differential equations.In order to obtain our results,we use the boundedness of solutions for generalized ODEs,by the correspondence between retarded measure functional differential equations and generalized ODEs,under a certain condition.

关 键 词：滞后型测度泛函微分方程 广义常微分方程 有界性 Kurzweil-Stieltjes积分 

分 类 号：O175[理学—数学]