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单位圆上一类高阶线性微分方程解的性质
引用本文:龙见仁,伍鹏程.单位圆上一类高阶线性微分方程解的性质[J].数学的实践与认识,2012,42(4):233-238.
作者姓名:龙见仁  伍鹏程
作者单位:贵州师范大学数学与计算机科学学院,贵州贵阳,550001
基金项目:国家自然科学基金,贵州省科学技术基金
摘    要:结合微分方程理论和函数空间理论,研究了单位圆上一类特殊高阶线性微分方程解的性质,得到当方程系数满足某些条件时,其解属于某类函数空间的充分条件.

关 键 词:线性微分方程  单位圆  函数空间

On The Properities of Solutions of Some Higher Order Linear Differential Equations in the Unit Disc
LONG Jian-ren , WU Peng-cheng.On The Properities of Solutions of Some Higher Order Linear Differential Equations in the Unit Disc[J].Mathematics in Practice and Theory,2012,42(4):233-238.
Authors:LONG Jian-ren  WU Peng-cheng
Institution:(School of Mathematical and Computer Science,Guizhou Normal University,Guiyang 550001,China)
Abstract:In this paper,we investigate the properties of solutions of higher order linear differential equations in the unit disc by using the skills and methods of diferential equations and function spaces.We obtain some sufficient conditions that the solutions belong to some classes function spaces.
Keywords:linear differential equation  unit disc  function space
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