Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 173028, 7 pages
doi:10.1155/2009/173028

The C1 Solutions of the Series-Like Iterative Equation with Variable Coefficients

Yuzhen Mi , Xiaopei Li and Ling Ma

Mathematics and Computational School, Zhanjiang Normal University, Zhanjiang, Guangdong 524048, China

Abstract

By constructing a structure operator quite different from that of Zhang and Baker (2000) and using the Schauder fixed point theory, the existence and uniqueness of the C1 solutions of the series-like iterative equations with variable coefficients are discussed.