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Pseudo almost periodic solutions of differential equations with piecewise constant arguments
Authors:Rong Yuan  Daxiong Piao
Affiliation:1. Department of Mathematics , Beijing Normal University , Beijing , 100875, P.R.China;2. Department of Mathematics , Peking University , Beijing , 100871, P.R.China
Abstract:In this paper, we give a definition of pseudo almost periodic sequence and study the existence of pseudo almost periodic sequence to difference equation. Based on these, we investigate the existence of pseudo almost periodic solutions to differential equations with piecewise constant arguments which was considered by K. L. Cooke & J. Wiener and found applications in certain biomedical problems.
Keywords:Pseudo almost periodic solutions  pseudo almost periodic sequences  differential equations with piecewise constant argument
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