非瞬时脉冲抽象微分方程非局部问题温和解的存在性  

Existence Results of Mild Solutions for Non-instantaneous Impulsive Abstract Differential Equations with Nonlocal Conditions

作　　者：丁敏敏 DING Min-min(Department of Medical Information Engineering,Anhui University of Chinese Medicine,Hefei 230012,China)

机构地区：[1]安徽中医药大学医药信息工程学院,安徽合肥230000

出　　处：《通化师范学院学报》2023年第8期32-37,共6页Journal of Tonghua Normal University

基　　金：安徽省教学研究项目(2022jyxm0849);安徽省质量工程项目(2022zygzts056).

摘　　要：文章对非瞬时脉冲抽象微分方程,运用不动点定理和逼近技巧,研究了非局部条件下的该方程温和解的存在性,运用逼近解的方法,解决了算子在零点处的紧性困难问题,最终证实并求得温和解.In this paper,the fixed point theorem and the approximation technique are used to study the existence of the mild solution for the non-instantaneous impulsive abstract differential equations.The dif⁃ficult problem of compactness of the operator at zero point is solved by using the approximation method.Finally,the mild solution is confirmed and obtained.

关 键 词：非瞬时脉冲抽象微分方程 非局部问题 不动点定理 逼近解 

分 类 号：O175[理学—数学]