| 单位圆内高阶非齐次线性微分方程解的性质 |
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| 引用本文： | 王丽,陈宗煊.单位圆内高阶非齐次线性微分方程解的性质[J].海南大学学报(自然科学版),2009,27(3):225-227. |
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| 作者姓名： | 王丽 陈宗煊 |
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| 作者单位： | 湛江教育学院数学系,广东湛江,524037 |
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| 摘 要： | 研究了在单位圆内的高阶非齐次线性微分方程．设f是单位圆内高阶非齐次线性微分方程f^（k）＋Ak-1（z）f^（k-1）…Ao（z）f=F（z）的解，其中系数A（z）（J=0，…，k-1）在单位圆内解析，F（z）（不恒为0）也在单位圆内解析，在不同的条件下得到了，的增长级与F（z）的增长级之间的关系．
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| 关 键 词： | 单位圆 微分方程 增长级 |
The Property of the Solutions of Higher Order Non-homogeneous Differential Equations in the Unit Disc |
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| CHEN Yue-hong,CHEN Zong-xuan.The Property of the Solutions of Higher Order Non-homogeneous Differential Equations in the Unit Disc[J].Natural Science Journal of Hainan University,2009,27(3):225-227. |
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| Authors: | CHEN Yue-hong CHEN Zong-xuan |
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| Institution: | ( Department of Mathematics, Zhanjiang Educational College, Zhanjiang 524037, China) |
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| Abstract: | The higher order non-homogeneous differential equation in the unit disc was studied. Let f be the so-lution of non-homogeneous linear differential equation of higher order f^（k）＋Ak-1（z）f^（k-1）…Ao（z）f=F（z）the coefficients Aj（z）（j =0,.. ,k-1） and F（z）（not equiv O） were analyzed in the unit disc, the relationshipbetween the growth order off and the growth order of F（z） under different conditions was elucidated. |
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| Keywords: | unit disc differential equation growth order |
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