| 一类高阶线性微分方程解的增长性 |
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| 引用本文： | 吴小燕,黄斌.一类高阶线性微分方程解的增长性[J].数学理论与应用,2010(2):117-123. |
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| 作者姓名： | 吴小燕 黄斌 |
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| 作者单位： | 长沙理工大学数学与计算科学学院,长沙410114 |
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| 基金项目： | 湖南省教育厅资助项目（05C268） |
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| 摘 要： | 本文研究了在Aj(z),aj(j=0,1,…,k-1)满足一些条件下方程f(k)+Ak-1(z)eak-1f(k-1)+…+A0(z)ea0zf=0解的超级和在Aj(z),Pj(j)(j=0,1,…,k-1)满足一些条件下方程f(k)+Ak-1(z)ePk-1(z)f(k-1)+…+Aj(z)eajzf(j)+…+A0(z)eP0(z)f=0解的级。
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| 关 键 词： | 线性微分方程 整函数 级 超级 |
The Growth of the Solutions of Higher Order Linear Differential Equations |
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| Wu Xiaoyan Huang Bin.The Growth of the Solutions of Higher Order Linear Differential Equations[J].Mathematical Theory and Applications,2010(2):117-123. |
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| Authors: | Wu Xiaoyan Huang Bin |
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| Affiliation: | Wu Xiaoyan Huang Bin (School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410114) |
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| Abstract: | In this paper,the hyper - orders of solutions of equationf（h）＋Ak-1（x）eak-1f（k-1）＋…＋A0（z）ea0zf=0 and the orders of solutions of equation f（k）＋Ak-1（x）eak-1f（k-1）＋…＋A0（z）ea0zf=0 is investigated,where Aj（z）,Pj（j）（j=0,1,…,k-1） are entire functions andPj（j）（j=0,1,…,k-1） are polynomlals in z. |
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| Keywords: | Linear differential equations Entire functions Order Hyper- order |
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