带有依赖状态非局部条件的时滞微分包含温和解的存在性  

Existence of Mild Solutions for Delay Differential Inclusions with State Dependent Non-local Conditions

作　　者：李建利 陈丽珍[2] 李刚[3] LI Jianli;CHEN Lizhen;LI Gang(Department of Mathematics,Taiyuan University,Taiyuan 030032,China;School of Applied Mathematics,Shanxi University of Finance and Economics,Taiyuan 030006,China;School of Mathematical Sciences,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]太原学院数学系,山西太原030032 [2]山西财经大学应用数学学院,山西太原030006 [3]扬州大学数学科学学院,江苏扬州225002

出　　处：《山西大学学报（自然科学版）》2023年第6期1270-1275,共6页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11871064,11571300);山西省自然科学基金(202203021211334)。

摘　　要：在多值函数以及依赖状态非局部函数满足Lipschitz条件下,应用有关Banach空间理论和方法、非紧性测度性质以及多值不动点技巧研究了带有依赖状态非局部条件的时滞微分包含,得到温和解的存在性定理。In this paper,under the Lipschitz condition for multivalued functions and dependent state nonlocal functions,we investigated the existence of mild solutions for delay differential inclusions with state dependent non-local conditions by using the theory and methods of Banach spaces,non-compact measures and multivalued fixed point techniques.

关 键 词：Lipschitz函数空间 HAUSDORFF度量 多值不动点定理 

分 类 号：O177.2[理学—数学]