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On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument

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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.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, 100875, Beijing, China

    Rong Yuan

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  1. Rong Yuan
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Correspondence to Rong Yuan.

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Yuan, R. On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument. Sci. China Ser. A-Math. 45, 484–502 (2002). https://doi.org/10.1007/BF02872337

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  • DOI: https://doi.org/10.1007/BF02872337

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