Analytic solutions for iterative functional differential equations

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 s...

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Bibliographic Details
Main Author: Pingping Zhang
Format: Article
Language:English
Published: Texas State University 2012-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/180/abstr.html