%0 Journal Article
%T Analytic solutions for iterative functional differential equations
%A Pingping Zhang
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X Because of its technical difficulties the existence of analytic solutions to the iterative differential equation $x'(z)=x(az+bx(z)+c x'(z))$ is a source of open problems. In this article we obtain analytic solutions, using Schauder's fixed point theorem. Also we present a unique solution which is a nonconstant polynomial in the complex field.
%K Iterative differential equation
%K existence
%K analytic solution
%K polynomial solution
%U http://ejde.math.txstate.edu/Volumes/2012/180/abstr.html