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复非线性代数微分方程解的增长级

高凌云 张于 李海绸

数学杂志2011,Vol.31Issue(5):785-790,6.
数学杂志2011,Vol.31Issue(5):785-790,6.

复非线性代数微分方程解的增长级

GROWTH OF SOLUTIONS OF COMPLEX NON-LINEAR ALGEBRAIC DIFFERENTIAL EQUATIONS

高凌云 1张于 1李海绸1

作者信息

  • 1. 暨南大学数学系,广东广州510632
  • 折叠

摘要

Abstract

In this paper,we study the problem of growth order of solutions of a type of non-linear general differential equations.By using Nevanlinna theory of the value distribution of meromorphic functions and Wiman-Valiron,s entire function theory,we obtain a result which is more precise and more general than the previous ones,and extends some results of the growth order of solutions of algebraic differential equations on Gol,dberg,Barsegian,Hayman and Korhonen,etc.

关键词

增长级/代数微分方程/亚纯函数

Key words

growth order/algebraic differential equations/meromorphic function

分类

数理科学

引用本文复制引用

高凌云,张于,李海绸..复非线性代数微分方程解的增长级[J].数学杂志,2011,31(5):785-790,6.

基金项目

Supported by the Natural Science Foundation of China(10471065) and the Natural Science Foundation of Guangdong Province(04010474). (10471065)

数学杂志

OA北大核心CSCDCSTPCD

0255-7797

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