Existence of continuous solutions for an iterative functional series equation with variable coefficients
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Date
2009
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Abstract
We obtain theorems on the existence and uniqueness of the solution for iterative functional equations of the type where H<inf>i</inf>'s and F are given functions and ?<inf>i</inf>'s are nonnegative functions such that on [a, b]. Stability of the solution is also discussed. © Birkhäuser Verlag, Basel, 2009.
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Keywords
Arzela-Ascoli's theorem, Banach's contraction principle, Homeomorphism, Iterative functional equations, Schauder's fixed point theorem
Citation
Aequationes Mathematicae, 2009, 78, 1, pp. 167-176