On a new almost periodic type solution of a class of singularly perturbed differential equations with piecewise constant argument |
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| Authors: | Rong Yuan |
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| Affiliation: | Department of Mathematics, Beijing Normal University, Beijing 100875, China |
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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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| Keywords: | pseudo almost periodic solution pseudo almost periodic sequence piecewise constant argument singular perturbation |
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