Further results of the estimate of growth of entire solutions of some classes of algebraic differential equations

Advances in Difference Equations

Qi Jianming¹  Yuan Wenjun²  Li Yezhou⁴ 

[1] Department of Mathematics and Physics, Shanghai Dianji University, Shanghai, People'School of Mathematics and Information Science, Guangzhou University, Guangzhou, People'School of Science, Beijing University of Posts and Telecommunications, Beijing, People's Republic of China

关键词: Meromorphic functions;    Nevanlinna theory;    Normal family;    Growth order;    Algebraic differential equation;   

DOI  :  10.1186/1687-1847-2012-6

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, by means of the normal family theory we estimate the growth order of entire solutions of some algebraic differential equations and improve the related results of Bergweiler, Barsegian, and others. We also estimate the growth order of entire solutions of a type system of a special algebraic differential equations. We give some examples to show that our results are sharp in special cases. Mathematica Subject Classification (2000): Primary 34A20; Secondary 30D35.

【 授权许可】

CC BY