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

Authors : Li Ye, Yongjian Liu

Pages : 1480-1491

Doi:10.15672/hujms.1143058

View : 222 | Download : 543

Publication Date : 2023-11-03

Article Type : Research Paper

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