Discrete Dynamics in Nature and Society
Volume 2006 (2006), Article ID 78145, 12 pages
doi:10.1155/DDNS/2006/78145
Two periodic solutions of neutral difference equations modelling
physiological processes
1College of Mathematics and Computer Science, Changsha University of Science Technology, Changsha 410076, China
2Department of Mathematics and System Science, College of Science, National University of Defense Technology, Changsha 410073, China
Received 15 April 2006; Accepted 25 July 2006
Copyright © 2006 Jun Wu and Yicheng Liu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We establish existence, multiplicity, and nonexistence
of periodic solutions for a class of first-order neutral difference equations modelling
physiological processes and conditions. Our approach is based on a fixed point theorem
in cones as well as some analysis techniques.