Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 207832, 14 pages
doi:10.1155/2010/207832
Research Article

Strictly Decreasing Solutions of a Class of Iterative Equations on the Unit Circle

Wei Song, Sheng Chen, and Xunbo Yin

Department of Mathematics, Harbin Institute of Technology, Harbin 150001, China

Received 22 February 2010; Revised 5 July 2010; Accepted 2 August 2010

Academic Editor: Manuel De la Sen

Copyright © 2010 Wei Song et al. 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 discuss the strictly decreasing solutions of a class of iterative equations on the unit circle T1. The conditions for the existence, uniqueness, and stability of such solutions are presented.