A universal differential equation of degree 6

被引：5

作者：

Elsner, C ^{[1
]}

机构：

[1] Univ Hannover, Dept Math, D-30167 Hannover, Germany

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2000年 / 244卷 / 02期

关键词：

D O I：

10.1006/jmaa.2000.6730

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

L. A. Rubel's universal differential equation (1981, Bull. AMS 4, 345-349) corresponds to an algebraic polynomial in four variables of degree seven. A simpler universal differential equation is found where the attached polynomial is homogeneous of degree six. We investigate complex-valued C-(infinity)-solutions of this differential equation, whose imaginary parts approximate arbitrary continuous functions on R. (C) 2000 Academic Press.

引用

页码：533 / 541

页数：9

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