| 摘要: |
| 本文研究了一类滞后型测度泛函微分方程有界变差解的存在性与唯一性, 借助~Henstock-Kurzweil~积分和~Schauder~不动点定理, 建立了这类滞后型测度泛函微分方程有界变差解的存在性与唯一性定理, 所得结果是对测度微分方程的进一步推广. |
| 关键词: 测度泛函微分方程 Henstock-Kurzweil 积分 有界变差解 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:国家自然科学基金 |
|
| Existence and Uniqueness of Bounded Variation Solutions for Retarded Measure Functional Differential Equations |
|
Xu Zhiyan
|
|
Northwest Normal University
|
| Abstract: |
| In this paper, the existence and uniqueness of bounded variation solutions for retarded measure functional differential equations are studied. By using the Henstock-Kurzweil integral and Schauder fixed-point theorem, the existence and uniqueness theorems of bounded variation solutions for retarded measure functional differential equations are established under Henstock-Kurzweil integral setting, the results obtained are further generalized for the measure differential equations. |
| Key words: Henstock-Kurzweil integral measure functional differential equations bounded variation solutions |
