单位圆上线性微分方程解的几个性质  

Several properities of solutions of linear differential equations in the unit disc

作　　者：龙见仁[1] 伍鹏程[1] 

机构地区：[1]贵州师范大学数学与计算机科学学院,贵州贵阳550001

出　　处：《贵州师范大学学报（自然科学版）》2009年第1期58-61,共4页Journal of Guizhou Normal University：Natural Sciences

摘　　要：研究了单位圆内解析函数的线性微分方程解的性质,得到某些一阶、二阶、高阶线性微分方程所有解为不可允许解的充分条件,以及二阶、高阶线性微分方程所有解为无穷级的一个充分条件.In this paper, we investigate the properties of solutions of differential equations in the unit disc and obtain sufficient conditions for some of first order, second order and higher order linear differential equation that all solutions are nonadmissible solutions, and sufficient conditions for second order and higher order linear differential equations that all solutions have infinite order.

关 键 词：单位圆 线性微分方程 可允许解 增长级 

分 类 号：O175[理学—数学]