Formal and analytic solutions for a quadric iterative functional equation

In this article, we study a quadric iterative functional equation. We prove the existence of formal solutions, and that every formal solution yields a local analytic solution when the eigenvalue of the linearization for the auxiliary function lying inside the unit circle, lying on the unit circl...

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Bibliographic Details
Main Author: Pingping Zhang
Format: Article
Language:English
Published: Texas State University 2012-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/46/abstr.html