| 关于高阶线性微分方程亚纯解的复振荡 |
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| 引用本文： | 朱军,伍鹏程.关于高阶线性微分方程亚纯解的复振荡[J].贵州师范大学学报(自然科学版),2009,27(2). |
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| 作者姓名： | 朱军 伍鹏程 |
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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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| 摘 要： | 研究了一类高阶亚纯函数系数线性微分方程的亚纯解的增长性,.当存在某个系数对方程的解起关键作用时,并且对方程中某个系数的零点和极点限制在某个角域内时,我们得到了方程的亚纯解增长性的精确估计.
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| 关 键 词： | 线性微分方程 亚纯函数 超级 |
On the oscillation of meromorphic solutions of higher order linear differential equations |
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| ZHU Jun,WU Peng-cheng.On the oscillation of meromorphic solutions of higher order linear differential equations[J].Journal of Guizhou Normal University(Natural Sciences),2009,27(2). |
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| Authors: | ZHU Jun WU Peng-cheng |
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| Institution: | School of Mathematics and Computer Science;Guizhou Normal University;Guiyang;Guizhou 550001;China |
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| Abstract: | In this paper,we study the growing properties of meromorphic solutions for higher order linear differential equations with meromorphic coefficients.The precise estimation of the properties of growth of meromorphic solutions of the equations is obtained when there exist some coefficients that play a crucial role in the equations,and the zeros and poles with some coefficients are limited in a angular domain. |
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| Keywords: | linear differential equations meromorphic functions hyper-order |
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