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
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。
Abstract: 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.
文章引用：丁利波, 李宝麟. 无限滞后测度泛函微分方程的Φ有界变差解[J]. 理论数学, 2021, 11(6): 1156-1165. https://doi.org/10.12677/PM.2021.116130

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