On the Growth of Entire Solutions of the First Order Algebraic Differential Equations

被引：0

作者：

Hu, Guo-Hua ^{[1
]}

Tang, Jia-Feng ^{[2
]}

机构：

[1] Hunan Inst Sci & Technol, Dept Maths & Appl Maths, Yueyang 414006, Peoples R China

[2] Nanjing Univ Technol, Dept Math, Nanjing, Jiangsu, Peoples R China

来源：

SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2010年 / 34卷 / 02期

关键词：

Algebraic differential equations; Entire solutions; Growth;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we discuss the growth of transcendental entire solutions of first order algebraic differential equations. We prove if f is a transcendental entire solution of the equation C(z, w)(w')(2) + B(z, w)w' + A(z, w) = 0, where C (z, w), B (z, w) and A (z, w) are polynomial in z and w, then the order of f is a positive integer.

引用

页码：265 / 270

页数：6

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