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
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)