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.
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页码：265 / 270
页数：6
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