Multiple periodic solutions for delay differential equations with a general piecewise constant argument

Volume 10, Issue 4, pp 1960--1970 http://dx.doi.org/10.22436/jnsa.010.04.54

Publication Date: April 20, 2017 Submission Date: August 27, 2016

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Authors

Hui-Sheng Ding - College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, P. R. China. Hong Wang - College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, P. R. China. Gaston M. N'Guérékata - Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, M.D. 21251, USA.

Abstract

This paper is concerned with the existence of multiple periodic solutions for some delay differential equations with a general piecewise constant argument. Under some sufficient conditions, we establish the existence of two and three nonnegative periodic solutions for the addressed delay differential equation with piecewise constant argument. Also, we apply one of our main results to a Nicholson’s blowflies type model.

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Keywords

• Piecewise constant
• periodic solution
• multiple periodic solution.

MSC

•  34C25

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