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On the existence of almost periodic solutions of a singularly perturbed differential equation with piecewise constant argument

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Abstract.

Based on the investigation of almost periodic solutions to difference equations, the existence of almost periodic solution for a nonautonomous, singularly perturbed differential equation with piecewise constant argument is considered. In addition, the stability properties of these solutions are characterized by the construction of manifolds of initial data.

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Authors and Affiliations

  1. Department of Mathematics, Beijing Normal University, Beijing 100875 P.R. China. e-mail: ryuan@bnu.edu.cn, , , , , , CN

    R. Yuan

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  1. R. Yuan
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Received: December 18, 1996, revised: November 17, 1997

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Yuan, R. On the existence of almost periodic solutions of a singularly perturbed differential equation with piecewise constant argument. Z. angew. Math. Phys. 50, 94–119 (1999). https://doi.org/10.1007/s000330050141

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  • DOI: https://doi.org/10.1007/s000330050141

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