一类微分包含问题的伪概自守解

Abstract

Abstract:

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, using $\varepsilon$ -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.

Key words: Pseudo almost automorphy $C^0$ -solution, Differential inclusion, Mix initial conditions

CLC Number:

0175.1

Ye Li, Liu Yongjian, Liu Aimin. Pseudo-Almost Automorphic Solutions to A Class of Differential Inclusions[J].Acta mathematica scientia,Series A, 2024, 44(6): 1485-1498.

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Pseudo-Almost Automorphic Solutions to A Class of Differential Inclusions

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