一类高阶线性微分方程解的增长率  

The Growth Rate of Solution for a Class of Higher Order Linear Differential Equations

作　　者：陈宗煊[1] 

机构地区：[1]江西师范大学数学与信息学院,江西南昌330027

出　　处：《江西师范大学学报（自然科学版）》2000年第3期194-197,共4页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金;江西省自然科学基金!资助项目 (1976 10 0 2 )

摘　　要：研究了一类高阶整函数系数线性微分方程解的增长率 ,将Ki HoKwon关于二阶线性方程解的超级问题推广到了高阶线性微分方程 ,而且条件比Ki HoKwon文的条件更松 ,结论比Ki HoKwon文的结果更为精确 .In this paper,the growth rate of solutions for a class of higher order linear differential equations with entire coefficients have been investigated.We generalize the hyper order problem obtained by Ki Ho Kwon on solutions of second order linear differential equations to higher order linear differential equations,and the hypothesis conditions are lower than that in the paper of Ki Ho Kwon,and the results are more precise than that in the paper of Ki Ho Kwon.

关 键 词：高阶线性微分方程 整函数 增长率 

分 类 号：O175.1[理学—数学]