Because of its technical difficulties the existence of analytic solutions to the iterative differential equation 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.
Submitted June 7, 2012. Published October 16, 2012.
Math Subject Classifications: 34K05, 39B12, 39B32.
Key Words: Iterative differential equation; existence; analytic solution; polynomial solution.
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| Pingping Zhang |
Department of Mathematics, Sichuan University
Chengdu, Sichuan 610064, China
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