Asymptotic Behavior of Linear Almost Periodic Differential Equations

2012/12/04 by Dieu, Bui Xuan, Duc, Luu Hoang, Siegmund, Stefan +1
#34C27 #34D05 #34D20 #47D06 #Classical Analysis and ODEs (math.CA) #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Spectral Theory (math.SP)

paper · doi:10.48550/arxiv.1212.0813

Abstract

The present paper is concerned with strong stability of solutions of non-autonomous equations of the form u(t)=A(t)u(t), where A(t) is an unbounded operator in a Banach space depending almost periodically on t. A general condition on strong stability is given in terms of Perron conditions on the solvability of the associated inhomogeneous equation.

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