复域高阶线性微分方程解的某些振荡结果(英文)  

SOME OSCILLATION RESULTS OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN THE COMPLEX PLANE

作　　者：黄志刚[1] 胡梦薇[1] 周利利[1] 

机构地区：[1]苏州科技学院数理学院,江苏苏州215009

出　　处：《数学杂志》2013年第4期591-602,共12页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China(11001057);NSF of Jiangsu Province(BK2010234);Project of Qinglan of Jiangsu Province

摘　　要：本文研究了线性微分方程解的增长性.运用值分布理论,得到方程解的增长的精确估计.进一步,讨论了上述方程解以及解的一阶,二阶导数与小函数的关系.In this paper, we study the growth of solutions of differential equation. By using the theory of value distribution, we obtain some precise estimates of the growth of solutions of the equation. Furthermore, the relations between functions of small growth and the solutions of higher order differential equations, and their first, second derivatives are shown.

关 键 词：线性微分方程 整函数 亚纯函数 零点收敛指数 

分 类 号：O174.5[理学—数学]