| 一类高阶齐次线性微分方程解的复振荡 |
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| 引用本文： | 金瑾.一类高阶齐次线性微分方程解的复振荡[J].雁北师范学院学报,2011,27(3). |
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| 作者姓名： | 金瑾 |
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| 作者单位： | 贵州省毕节学院数学系,贵州毕节,551700 |
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| 基金项目： | 贵州省科学技术基金资助项目，贵州省教育厅科研基金资助项目 |
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| 摘 要： | 研究了高阶齐次线性微分方程f（k）＋（Ak-1（z）e^pk-1（z）＋Dk-1（z））f^（k-1）＋…＋（A0（z）e^p0（z）＋D0（z））f=0解的增长性问题,其中pj（z）=ajz^n＋bj,1z^n-1＋…＋bjn,,Aj（z）,Dj（z）是有限级整函数。针对pj（z）中aj（j=0,1,…,k-1）的幅角主值不全相等的情形,得到了方程解的增长级的精确估计。
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| 关 键 词： | 线性微分方程 增长级 整函数 复振荡 |
Complex Oscilition of the Solutions of a Type of Higher Order Linear Differential Equations |
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| JIN Jin.Complex Oscilition of the Solutions of a Type of Higher Order Linear Differential Equations[J].Journal of Yanbei Teachers College,2011,27(3). |
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| Authors: | JIN Jin |
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| Institution: | JIN Jin(Mathematics Department,Bijie University,Bijie Guizhou,551700) |
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| Abstract: | This paper investigates the properties of growth of solutions of higher order Linear Differential equations f（k）＋（A^k-1（z）e^pk-1（z）＋Dk-1（z））f（k-1）＋L＋（A0（z）e^po（z）＋D0（z））f =0, in the pj（z）=aj zn＋bj,1zn-1＋bj,n,Aj（z） and Dj（z） were finite order entire function,obtains some precise estimates of the order of growth of the solutions when argument of pj（z）中aj（j=0,1,L,k-1） of pj（z） is not all equal. |
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| Keywords: | linear differential equations entire function order of growth complex oscilition |
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