摘要
本文研究了非齐次线性微分方程的复振荡问题,其中,D0,D1,…,D(k-1),是超越亚纯函数.当存在某个Ds(1≤s≤k-1)比其它Dj(j≠s)有较快增长的意义下起支配作用时,得到了微分方程(I)亚纯解的零点收敛指数的精确估计式.
In this paper, we investigate the complex oscillation of the differential equationwhere D0, D1,''' , Dk-1, are transcendental meromorphic functions. When there existsa Dd (1 ≤d ≤ k - 1) being dominant in the sense that it has larger growth than any otherDj (j≠ s), we obtain some precise estimates of the exponent of convergence of the zero-sequenceof meromorphic solutions for the above equation.
出处
《系统科学与数学》
CSCD
北大核心
1997年第2期148-155,共8页
Journal of Systems Science and Mathematical Sciences
基金
国家自然科学基金
江西省自然科学基金
关键词
线性
微分方程
亚纯解
零点
超越亚纯函数
Linear differential equation, meromorphic function, zero, exponent of convergence.