一类微分包含问题的伪概自守解

Pseudo-Almost Automorphic Solutions to A Class of Differential Inclusions

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.