无限滞后测度泛函微分方程的Φ有界变差解的唯一性  

Uniqueness of BoundedΦ-Variation Solutions of Measure Functional Differential Equations with Infinite Delay

作　　者：丁利波 DING Li-bo(School 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：《兰州文理学院学报（自然科学版）》2022年第1期26-29,共4页Journal of Lanzhou University of Arts and Science(Natural Sciences)

基　　金：国家自然科学基金项目(11761063)。

摘　　要：借助Musielak及Orlicz等提出的Φ有界变差函数理论,引入无限滞后测度泛函微分方程Φ有界变差解,建立了无限滞后测度泛函微分方程Φ有界变差解的唯一性定理,这是对无限滞后测度泛函微分方程有界变差解的唯一性相关结果的推广.In this paper,the boundedΦ-variation solution of the measure functional differential equations with infinite delay were introduced and uniqueness theorem of the boundedΦ-variation was set up by using the functions of boundedΦvariation which were established by Musielak and Orlicz.The result was a generalization of the uniqueness theorem of the measure functional differential equations with infinite delay bounded variation solution.

关 键 词：无限滞后测度泛函微分方程 唯一性 Φ有界变差解 

分 类 号：O175.12[理学—数学]