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一类二阶超越亚纯系数微分方程的复振荡
引用本文:周鉴.一类二阶超越亚纯系数微分方程的复振荡[J].贵州师范大学学报(自然科学版),2012,30(5):46-48.
作者姓名:周鉴
作者单位:贵州师范大学数学与计算机科学学院,贵州贵阳,550001
基金项目:贵州省科学技术基金项目(黔科合J字LKS[2009]04号)
摘    要:研究了线性微分方程:f(2)+A(z)f=0(1),得到了当A(z)是超越亚纯函数时,方程(1)的任一亚纯解的零点收敛指数与A(z)的级的关系.

关 键 词:微分方程  超越亚纯函数    零点收敛指数

On the complex oscillation of certain second order differential equations with transcendental meromophic coefficients
ZHOU Jian.On the complex oscillation of certain second order differential equations with transcendental meromophic coefficients[J].Journal of Guizhou Normal University(Natural Sciences),2012,30(5):46-48.
Authors:ZHOU Jian
Institution:ZHOU Jian(School of Mathematics and Computer Science,Guizhou Normal University,Guiyang,Guizhou 550001,china)
Abstract:In this paper investigate the oscillation of the second order linear differential equations f″+A(z)f=0(1),it is shown the relationship between exponent of convergence of zero-sequence of the meromophic solution and the order of growth of A(z).
Keywords:differential equations  transcendental meromophic function  order of growth  exponent of covergence of the zero-sequence
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