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On the almost automorphy of bounded solutions of differential equations with piecewise constant argument
Authors:Nguyen Van Minh  Tran Tat Dat
Affiliation:a Department of Mathematics, University of West Georgia, Carrollton, GA 30118, USA
b Department of Mathematics, Hanoi University of Science, Vietnam National University, Viet Nam
Abstract:In this paper we give sufficient spectral conditions for the almost automorphy of bounded solutions to differential equations with piecewise constant argument of the form x(t)=Ax([t])+f(t), tR, where A is a bounded linear operator in X and f is an X-valued almost automorphic function.
Keywords:Almost automorphic solutions   Differential equation piecewise constant argument
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