Periodic solutions of differential equations with a general piecewise constant argument and applications
Kuo-Shou Chiu, Universidad Metropolitana de Ciencias de la Educacion, Santiago, Chile E. J. Qualitative Theory of Diff. Equ., No. 46. (2010), pp. 1-19.
M. Pinto, Universidad de Chile, Santiago, Chile
| Communicated by T. A. Burton. | Received on 2010-07-07 Appeared on 2010-08-26 |
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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