无限滞后测度泛函微分方程的Φ有界变差解  

Bounded Φ-Variation Solutions for Measure Functional Differential Equations with Infinite Delay

作　　者：丁利波 李宝麟 

机构地区：[1]西北师范大学数学与统计学院,甘肃 兰州

出　　处：《理论数学》2021年第6期1156-1165,共10页Pure Mathematics

摘　　要：本文主要研究了无限滞后测度泛函微分方程的Φ有界变差解的存在性,借助Kurzweil积分和Φ有界变差函数理论,建立了无限滞后测度泛函微分方程的Φ有界变差解的存在性定理,这是对无限滞后测度泛函微分方程和Kurzweil积分相关结果的推广。In this paper, we mainly research the existence theorem of bounded Φ-variation solution for measure functional differential equations with infinite delay. The existence theorem of bounded Φ-variation solution to measure functional differential equations with infinite delay is established by using Kurzweil integral and the function of bounded Φ-variation. The result is a generalization of the existence theorem of the measure functional differential equations with infinite delay and Kurzweil integral.

关 键 词：无限滞后测度泛函微分方程 Φ有界变差解 Kurzweil积分 

分 类 号：O17[理学—数学]