Fixed Point Theory and Applications 
Volume 2005 (2005), Issue 2, Pages 219-232
doi:10.1155/FPTA.2005.219

Existence of solutions for equations involving iterated functional series

V. Murugan and P. V. Subrahmanyam

 Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036, India
Received 26 August 2004; Revised 8 October 2004

Abstract

Theorems on the existence and uniqueness of differentiable solutions for a class of iterated functional series equations are obtained. These extend earlier results due to Zhang.