Pseudo-almost periodic $C^{0}$-solution for evolution inclusion with mixed nonlocal plus local initial conditions

Year 2023, , 1480 - 1491, 03.11.2023

Li Ye , Yongjian Liu

https://doi.org/10.15672/hujms.1143058

Abstract

This paper is devoted to the study of a class of evolution inclusion in Banach spaces with nonlocal plus local mixed initial conditions. Under some mild assumptions, a unique solvability result to the multivalued evolution problem is obtained via the arguments of fixed point principle and the theory of $C^0$-semigroup.

Keywords

Almost periodic solution, Pseudo-almost periodic solution, Mixed nonlocal plus local initial conditions, Existence and uniqueness, Evolution inclusion

Supporting Institution

National Natural Science Foundation of China

Project Number

11961074

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