中北大学学报（自然科学版）2017，Vol.38Issue(5)：544-548,5.DOI:10.3969/j.issn.1673-3193.2017.05.007
高阶非齐次线性微分方程解的增长级
Growth of Solutions of Non-Homogeneous Higher Order Linear Differential Equations
摘要
Abstract
This paper concerned with the growth of solutions of the non-homogeneous higher order linear differential equations with entire function coefficients by using complex oscillation theory of linear differ-ential equations,where the coefficients are entire functions and the non-homogeneous term unequal to zero.It is shown when the coefficients order meets certain conditions then every non-zero solution of the equation is of infinite order.关键词
线性微分方程/增长级/整函数/零点收敛指数Key words
linear differential equations/growth/entire function/convergence exponent of zero分类
数理科学引用本文复制引用
周鉴,龙见仁..高阶非齐次线性微分方程解的增长级[J].中北大学学报（自然科学版）,2017,38(5):544-548,5.基金项目
国家自然科学基金资助项目(11501142) （11501142）
贵州省科学技术基金(黔科合J 字 LKS[2009]04 号) （黔科合J 字 LKS[2009]04 号）
