一类高阶齐次微分方程的解与小函数的关系  

The Relations between Solutions of a Class of Higher Order Homogeneous Differential Equations with Functions of Smaller Growth

作　　者：陈玉[1] 

机构地区：[1]江西师范大学数学与信息科学学院,江西南昌330022

出　　处：《江西科学》2009年第2期224-226,246,共4页Jiangxi Science

基　　金：国家自然科学基金资助项目(10161006);江西省教育厅资助项目(赣教技字[2007]135)

摘　　要：当存在某个系数较其它系数有较快增长的意义下起支配作用时,研究了一类高阶齐次线性微分方程的解与小函数的关系,得到了齐次线性微分方程的解取小函数的点的收敛指数与二级收敛指数。In this paper,when there is a coefficient that is main dominating to the properties of the solutions of the equations,investigate the relations between solutions of a class of higher order homogeneous linear differential equations with functions of smaller growth, obtain exponent of convergence and hyper-exponent of convergence as solutions of homogeneous differential equations taking functions of smaller growth.

关 键 词：高阶线性微分方程 小函数 二级收敛指数 

分 类 号：O174.52[理学—数学]