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Periodic solutions of differential equations with a general piecewise constant argument and applications

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2010
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Chiu, Kuo-Shou
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Periodic solutions of differential equations with a general piecewise constant argument and applications
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Author
  • Chiu, Kuo-Shou;
  • Pinto Jiménez, Manuel;
Abstract
In this paper we investigate the existence of the periodic solutions of a quasilinear differential equation with piecewise constant argument of generalized type. By using some fixed point theorems and some new analysis technique, sufficient conditions are obtained for the existence and uniqueness of periodic solutions of these systems. A new Gronwall type lemma is proved. Some examples concerning biological models as Lasota-Wazewska, Nicholson’s blowflies and logistic models are treated.
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This research has been supported by: FONDECYT 1080034 and DI 0052-10 UNAP.
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URI: https://repositorio.uchile.cl/handle/2250/119096
ISSN: 1417-3875
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ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS Issue: 46 Pages: 1-19 Published: 2010
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