半线性时滞不确定动力系统解的存在性  

Existence of solutions for semi-linear delay uncertain dynamical systems

作　　者：刘倩 谢凤艳 LIU Qian;XIE Fengyan(School of Computer Science and Mathematics,Anyang University,Anyang 455000,China)

机构地区：[1]安阳学院计算机科学与数学学院,河南安阳455000

出　　处：《扬州大学学报（自然科学版）》2022年第3期1-4,17,共5页Journal of Yangzhou University：Natural Science Edition

基　　金：河南省高等学校重点科研资助项目(22B110001,20B110002);河南省高等学校青年骨干教师培养计划资助项目(2020GGJS287);教育部高等教育司2020年产学合作协同育人资助项目(202002067008)。

摘　　要：为分析半线性时滞不确定动力系统解的存在性,运用集值分析、泛函分析和不动点定理,给出半线性时滞模糊微分方程解的存在性,并通过实例验证了该理论结果的实用性.Fuzzy differential equations are commonly used to describe the changing process with uncertain conditions.And its theory is widely applied to many different practical problems.In order to analyze the existence of solutions for uncertain dynamical systems with semilinear delays,the existence of solutions for fuzzy differential equations with semilinear delays is given by means of setvalued analysis,functional analysis and fixed point theorems,and the practicability of the theoretical results is verified by examples.

关 键 词：微分包含 时滞微分方程 不动点定理 集值分析 

分 类 号：O159[理学—数学]