一类迭代级亚纯函数系数线性微分方程的复振荡  

THE COMPLEX OSCILLATION OF A CERTAIN LINEAR DIFFERENTIAL EQUATION WITH ITERATIVE ORDER MEROMORPHIC FUNCTIONS COEFFICIENTS

作　　者：顾瑞翔[1] 黄斌[1] 黄卉[1] 

机构地区：[1]长沙理工大学数学与计算科学学院,湖南长沙410114

出　　处：《南阳理工学院学报》2010年第4期88-93,共6页Journal of Nanyang Institute of Technology

基　　金：国家自然科学基金资助项目(项目编号:11071064);湖南省教育厅资助项目(项目编号:05C268)

摘　　要：本文主要研究了具有亚纯函数系数,形式为f(k)+A(k-1)f(k-1)+…A1f′+A。f=0的线性微分方程和它对应的非齐次形式的线性微分方程的复振荡,考虑了在某个系数的迭代级处于支配地位时的解的复振荡,得到了方程解的迭代级和零点迭代收敛指数的精确估计。In this paper,a certain linear differential function and its non-homongenous form are considered,which has meromorphic coefficient and has the form as follow：When a certain coefficient function is dominated in the two equations the solutions are considered,meanwhile the accurate estimate of the iterative order of the solutions and the iterative convergence exponent of zeros are obtained.

关 键 词：线性微分方程 复振荡 亚纯函数 迭代级 零点迭代收敛指数 

分 类 号：O174.52[理学—数学]