Pingping Zhang
Abstract:
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 email: zhangpingpingmath@163.com |
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