摘要
该文研究了非齐次线性微分方程f″+Af′+Bf=F(I)的复振荡问题,其中A、B为超越的,在B比A有较大增长级的条件下,得到了微分方程(I)的所有亚纯解的零点收敛指数和增长级的精确估计.
In this paper,we investigate the convergence exponent of the zeros and growth order of meromorphic solutions for the differential equation f″+Af′+Bf=F where A,B are transcendental meromorphic functions.When B has larger growth than A,we obtained some precise estimates of the exponent of convergence of the zeros and growth order of meromorphic solutions for the above equation.
出处
《江西师范大学学报(自然科学版)》
CAS
1998年第1期16-20,共5页
Journal of Jiangxi Normal University(Natural Science Edition)
关键词
线性微分方程
亚纯函数
零点收敛指数
增长级
linear differential equation,meromorphic function,exponent of convergence of the zero sequence,growth order