- Hacettepe Journal of Mathematics and Statistics
- Volume:52 Issue:6 - Special Issue:Nonlinear Evolution Problems with Applications
- Pseudo-almost periodic $C^{0}$-solution for evolution inclusion with mixed nonlocal plus local initi...
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 : 262 | Download : 546
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
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