一类微分包含问题的伪概自守解  

Pseudo-Almost Automorphic Solutions to A Class of Differential Inclusions

作　　者：叶莉 刘永建[2] 刘爱民[2] Ye Li;Liu Yongjian;Liu Aimin(School of Mathematics Sciences,Chongqing Normal University,Chongqing 401331;Center for Applied Mathematics of Guangxi,Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing,Yulin Normal University,Guangxi Yulin 537000)

机构地区：[1]重庆师范大学数学科学学院,重庆401331 [2]玉林师范学院,广西应用数学中心,广西高校复杂系统优化与大数据处理重点实验室,广西玉林537000

出　　处：《数学物理学报（A辑）》2024年第6期1485-1498,共14页Acta Mathematica Scientia

基　　金：国家自然科学基金(12371179)。

摘　　要：该文研究一类具有非局部和局部混合初始条件的微分包含问题的伪概自守C^(0)-解.结合不动点定理、算子半群理论、伪概自守函数的性质,利用ε-离散化技术,在伪概自守函数空间中直接讨论微分包含C^(0)-解的存在性.This paper is dedicated to the study of the pseudo-almost automorphic C^(0)-solutions to a class of differential inclusion problems which have mixed nonlocal plus local initial conditions.Baseing on the fixed point theorem,theory of operator semigroups,and the properties of pseudo-almost automorphic functions,usingε-discretisation techniques the existence of C^(0)-solutions for differential inclusion is discussed directly in the space which is composed by all pseudo-almost automorphic functions.

关 键 词：伪概自守 C^(0) -解 微分包含 混合初始条件 

分 类 号：O175.1[理学—数学]