ANALYTIC SOLUTIONS FOR ITERATIVE FUNCTIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Zhang, Pingping ^{[1
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年

关键词：

Iterative differential equation; existence; analytic solution; polynomial solution;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Because of its technical difficulties the existence of analytic solutions to the iterative differential equation x'(z) = x(az + bx(z) + cx'(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.

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页数：7

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