%0 Journal Article
%T Formal and analytic solutions for a quadric iterative functional equation
%A Pingping Zhang
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X 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 circle with a Brjuno number, or a root of 1.
%K Iterative functional equation
%K analytic solution
%K small divisor
%K Brjuno condition
%U http://ejde.math.txstate.edu/Volumes/2012/46/abstr.html