Abstract and Applied Analysis
Volume 2008 (2008), Article ID 636843, 13 pages
Research Article

Differentiable Solutions of Equations Involving Iterated Functional Series

Wei Song

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

Received 12 October 2008; Accepted 28 December 2008

Academic Editor: John Rassias

Copyright © 2008 Wei Song. 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.


The nonmonotonic differentiable solutions of equations involving iterated functional series are investigated. Conditions for the existence, uniqueness, and stability of such solutions are given. These extend earlier results due to Murugan and Subrahmanyam.