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
收藏
页码：533 / 541
页数：9
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