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On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument
Authors:Rong Yuan
Institution:Department of Mathematics, Beijing Normal University, Beijing 100875, China
Abstract:A new class of ergodic sequences, pseudo almost periodic sequence, is introduced, and the existence of pseudo almost periodic sequence to difference equation is studied. Based on these, we investigate the existence of pseudo almost periodic solutions for a nonautonomous, singularly perturbed differential equations with piecewise constant argument.
Keywords:pseudo almost periodic solution  pseudo almost periodic sequence  piecewise constant argument  singular perturbation
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