On the almost automorphy of bounded solutions of differential equations with piecewise constant argument |
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Authors: | Nguyen Van Minh Tran Tat Dat |
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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 |
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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), t∈R, where A is a bounded linear operator in X and f is an X-valued almost automorphic function. |
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Keywords: | Almost automorphic solutions Differential equation piecewise constant argument |
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