| 复线性微分方程解的增长性的几个结果 |
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| 引用本文： | 龙见仁.复线性微分方程解的增长性的几个结果[J].数学杂志,2017,37(4):781-791. |
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| 作者姓名： | 龙见仁 |
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| 作者单位： | 北京邮电大学计算机学院; 理学院, 北京 100876;贵州师范大学数学科学学院, 贵州 贵阳 550001 |
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| 基金项目： | 国家自然科学基金资助（11501142）；贵州省科学技术基金资助（黔科合J字[2015]2112号）；贵州师范大学2016年博士科研启动项目资助. |
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| 摘 要： | 本文研究了复线性微分方程解的增长性问题.利用两类具有某种渐进增长性质的函数作为线性微分方程的系数,讨论了两类二阶线性微分方程解的增长性,获得了方程解为无穷级.这些结果推广了先前的一些结果.
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| 关 键 词： | 复微分方程 整函数 无穷级 下级 渐进增长 |
| 收稿时间： | 2016/3/3 0:00:00 |
| 修稿时间： | 2016/4/19 0:00:00 |
SOME RESULTS ON THE GROWTH OF SOLUTIONS OF COMPLEX LINEAR DIFFERENTIAL EQUATIONS |
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| LONG Jian-ren.SOME RESULTS ON THE GROWTH OF SOLUTIONS OF COMPLEX LINEAR DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2017,37(4):781-791. |
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| Authors: | LONG Jian-ren |
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| Institution: | School of Computer Science;School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China;School of Mathematical Science, Guizhou Normal University, Guiyang 550001, China |
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| Abstract: | In this paper, we study the growth problem of solutions of two classes of second order linear difierential equations. By assuming their coeffcients which have the properties of asymptotic growth, we obtain that all nontrivial solutions are of inflnite order, which improves and extends previous results. |
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| Keywords: | complex difierential equations entire functions inflnite order lower order asymptotic growth |
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