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

Abstract

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.