| 一类高阶线性微分方程解的增长级 |
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| 引用本文： | 钟文波,易才凤.一类高阶线性微分方程解的增长级[J].江西师范大学学报(自然科学版),2014,0(4):399-402. |
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| 作者姓名： | 钟文波 易才凤 |
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| 作者单位： | 江西师范大学数学与信息科学学院,江西 南昌,330022 |
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| 摘 要： | 运用 Nevanlinna 值分布的基本理论和整函数的相关性质，研究了一类高阶齐次线性微分方程解的增长性，在假设其系数均为整函数，且有1个满足杨-张不等式的极端情况的条件下，证明了方程的每1个非零解均具有无穷级。
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| 关 键 词： | 整函数 杨-张不等式 微分方程 无穷级 |
On the Growth of Solutions of a Class of Higher Order Linear Differential Equations |
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| ZHONG Wen-bo,YI Cai-feng.On the Growth of Solutions of a Class of Higher Order Linear Differential Equations[J].Journal of Jiangxi Normal University (Natural Sciences Edition),2014,0(4):399-402. |
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| Authors: | ZHONG Wen-bo YI Cai-feng |
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| Institution: | ZHONG Wen-bo;YI Cai-feng;College of Mathematics and Informatics,Jiangxi Normal University; |
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| Abstract: | By using the fundamental theory of value distribution of Nevanlinna and the property of entire function, the growth of solutions of the higher order linear differential equations is considered where coefficients are entire function. Assume that one of coefficients is extremal for Yang-Zhang inequality,it was proved that every nontrivial solution of the complex differential equation has infinite order. |
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| Keywords: | entire function Yang-Zhang inequality differential equations infinite order |
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