无限滞后测度泛函微分方程的平均化（英文）  

AVERAGING FOR MEASURE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY

作　　者：李宝麟[1] 王保弟[1] 

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》2017年第5期987-998,共12页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(11061031)

摘　　要：本文研究了无限滞后测度泛函微分方程的平均化.利用广义常微分方程的平均化方法,在无限滞后测度泛函微分方程可以转化为广义常微分方程的基础上,获得了这类方程的周期和非周期平均化定理,推广了一些相关的结果.In this paper, we study the averaging for measure functional differential equations with infinite delay. By using the averaging theorem for generalized ordinary differential equations, under the measure functional differential equations with infinite delay is equivalent to the generalized ordinary differential equations under some conditions, the periodic and non-periodic averaging theorem for this class of retarded functional differential equations is obtained, which generalizes some related results.

关 键 词：平均化方法 测度泛函微分方程 广义常微分方程 Kurzweil-Stieltjes积分 

分 类 号：O175.12[理学—数学]