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Fifth International Conference on Dynamic Systems and Applications
May 30 - June 2, 2007
Morehouse College
Atlanta, Georgia, USA

Organizers
M. Sambandham, Morehouse College, IFNA

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Existence of continuous solutions for an iterative functional series equation with variable coefficients
by
P. V. Subrahmanyam
Department of Mathematics, Indian Institute of Technology Madras, Chennai - 600 036, India,
Coauthors: V. Murugan, Department of Mathematics, Indian Institute od Technology Madras, Chennai - 600 036, India,

In this paper, we obtain theorems on the existence and uniqueness of solution for iterative functional equations of the type
∞
å
i=1 
 li(x)Hi(fi(x)) = F(x), x ∈ [a, b]
 where Hi’s and F are given functions and li’s are nonnegative functions such that ∑∞i=1 li(x) = 1 on [a, b]. Our theorems generalizes those due to Baker and Zhang (2000). Stability of the solution is also discussed.

Date received: March 20, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cauj-67.