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

被引：0

作者：

Chiu, Kuo-Shou ^{[1
]}

Pinto, Manuel ^{[2
]}

机构：

[1] Univ Metropolitana Ciencias Educ, Fac Ciencias Basicas, Dept Matemat, Santiago, Chile

[2] Univ Chile, Fac Ciencias, Dept Matemat, Santiago, Chile

来源：

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS | 2010年 / 46期

关键词：

Periodic solutions; Piecewise constant argument of generalized type; Fixed point theorems; Gronwall's inequality; GREENS-FUNCTION; EXISTENCE; SYSTEM;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 19

页数：19

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