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On Quasi-Periodic Solutions of Differential Equations with Piecewise Constant Argument

✍ Scribed by Tassilo Küpper; Rong Yuan

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 150 KB
Volume: 267
Category: Article
ISSN: 0022-247X
DOI: 10.1006/jmaa.2001.7761

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✦ Synopsis

We study the existence of quasi-periodic solutions to differential equations with piecewise constant argument (EPCA, for short). It is shown that EPCA with periodic perturbations possess a quasi-periodic solution and no periodic solution. The appearance of quasi-periodic rather than periodic solutions is due to the piecewise constant argument. This new phenomenon illustrates a crucial difference between ODE and EPCA. The results are extended to nonlinear equations.  2002 Elsevier Science (USA)

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