| 二阶整函数系数的线性微分方程的有穷级解 |
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| 引用本文： | 周鉴,班大明. 二阶整函数系数的线性微分方程的有穷级解[J]. 贵州师范大学学报(自然科学版), 2013, 0(6): 52-55 |
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| 作者姓名： | 周鉴 班大明 |
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| 作者单位： | [1]贵州师范大学数学与计算机科学学院,贵州贵阳550001 [2]贵州师范大学化学与材料科学学院,贵州贵阳550001 |
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| 基金项目： | 国家自然科学基金资助项目（51273049）;贵州省科学技术基金（黔科合J字LKS[2009]04号）. |
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| 摘 要： | 本文考虑形如f″+A1(z)f'+A0(z)f=0的复线性微分方程解的性质,其中方程的系数均为整函数.我们将证明如果其中一个系数在一个角域里以指数函数为主,且方程的解f为有穷级,则f(z)在角域内趋于一个常数。
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| 关 键 词： | 微分方程 整函数 增长级 指数函数 |
Finite order solutions of certain second order Linear differential equations with entire coefficients |
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| ZHOU Jlan,BAN Da-ming. Finite order solutions of certain second order Linear differential equations with entire coefficients[J]. Journal of Guizhou Normal University(Natural Sciences), 2013, 0(6): 52-55 |
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| Authors: | ZHOU Jlan BAN Da-ming |
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| Affiliation: | 1. School of Mathematics and Computer Science, Guizhou Normal University, Guiyang, Guizhou 550001, China ; 2. School of Chemistry and Materials Science, Guizhou Normal University, Guiyang,Guizhou 550001 ,China) |
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| Abstract: | In this paper investigate the second order linear differential equationsf＇ ＋ A1 （z）f ＋ Ao （z）f = 0 , with entire function coefficients. We will show if one of the coefficients dominating in a sector as exponent and the solutions of the equations is finite order, thenfapproximate a constant in a sector. |
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| Keywords: | differential equations entire function order of growth exponent |
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