| 单位圆上线性微分方程解的几个性质 |
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| 引用本文： | 龙见仁,伍鹏程. 单位圆上线性微分方程解的几个性质[J]. 贵州师范大学学报(自然科学版), 2009, 27(1) |
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| 作者姓名： | 龙见仁 伍鹏程 |
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| 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;贵州师范大学,数学与计算机科学学院,贵州,贵阳,550001 |
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| 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.
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| 关 键 词： | 单位圆 线性微分方程 可允许解 增长级 |
Several properities of solutions of linear differential equations in the unit disc |
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| LONG Jian-ren,WU Peng-cheng. Several properities of solutions of linear differential equations in the unit disc[J]. Journal of Guizhou Normal University(Natural Sciences), 2009, 27(1) |
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| Authors: | LONG Jian-ren WU Peng-cheng |
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| Affiliation: | School of Mathematical and Computer Science;Guizhou Normal University;Guiyang;Guizhou 550001;China |
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| Abstract: | 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. |
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| Keywords: | unit disc linear differential equation permissible solution growth |
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