Bounded and periodic solutions of inhomogeneous linear evolution equations
Commun. Korean Math. Soc.
Published online September 15, 2021
Trinh Viet Duoc
University of Science, Vietnam National University, Hanoi
Abstract : The purpose of this paper is to prove unique existence of bounded solution and periodic solution to inhomogeneous linear evolution equations which norm of these trajectories belong to given admissible Banach function space.
Keywords : Exponential dichotomy, admissible Banach function spaces, evolution family, bounded and periodic solutions, inhomogeneous linear evolution equations
MSC numbers : 34D09, 34C25, 47D06
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