## Abstract and Applied Analysis

### Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System

#### Abstract

This paper is concerned with the existence of multiple periodic solutions for discrete Nicholson’s blowflies type system. By using the Leggett-Williams fixed point theorem, we obtain the existence of three nonnegative periodic solutions for discrete Nicholson’s blowflies type system. In order to show that, we first establish the existence of three nonnegative periodic solutions for the $n$-dimensional functional difference system $y(k+1)=A(k)y(k)+f(k, y(k-\tau )), k\in \Bbb Z$, where $A(k)$ is not assumed to be diagonal as in some earlier results. In addition, a concrete example is also given to illustrate our results.

#### Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 659152, 6 pages.

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425047808

Digital Object Identifier
doi:10.1155/2014/659152

Mathematical Reviews number (MathSciNet)
MR3191056

Zentralblatt MATH identifier
07022841

#### Citation

Ding, Hui-Sheng; Dix, Julio G. Multiple Periodic Solutions for Discrete Nicholson’s Blowflies Type System. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 659152, 6 pages. doi:10.1155/2014/659152. https://projecteuclid.org/euclid.aaa/1425047808

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