| 一类二阶线性微分方程解的增长级 |
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| 引用本文： | 周鉴. 一类二阶线性微分方程解的增长级[J]. 贵州师范大学学报(自然科学版), 2010, 28(1): 88-90 |
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| 作者姓名： | 周鉴 |
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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 |
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| 基金项目： | 贵州省科学技术基金(黔科合J字LKS[2009]04号) |
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| 摘 要： | 考虑一般形式的二阶线性微分方程:A2(z)f″+A1(z)f′+A0(z)f=0解的增长级,其中A2(z),A1(z)和A0(z)均为多项式,其次数分别为,m2,m1和m0.从而得到解的增长级的估计.
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| 关 键 词： | 微分方程 整函数 多项式 增长级 |
On the growth of solutions of certain second order linear differential equations |
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| ZHOU Jian. On the growth of solutions of certain second order linear differential equations[J]. Journal of Guizhou Normal University(Natural Sciences), 2010, 28(1): 88-90 |
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| Authors: | ZHOU Jian |
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| Affiliation: | School of Mathematics and Computer Science/a>;Guizhou Normal University/a>;Guiyang/a>;Guizhou 550001/a>;China |
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| Abstract: | In this paper we investigate the growth of second order linear differential equations A2(z)f″+A1(z)f′+A0(z)f=0,where A2(z),A1(z)and of A0(z) are polynomials with degrees of m2,m1 and m0.We obtain on estimate of the growth of these solutions. |
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| Keywords: | differential equations entire function polynomial order of growth |
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