| 周期微分方程的解生成的微分多项式与小函数的关系 |
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| 引用本文： | 肖丽鹏.周期微分方程的解生成的微分多项式与小函数的关系[J].数学物理学报(A辑),2014,34(3):562-572. |
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| 作者姓名： | 肖丽鹏 |
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| 作者单位： | 江西师范大学 数学与信息科学学院 南昌 330022 |
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| 基金项目： | 国家自然科学基金(11126144, 11171119, 11301232)、江西省自然科学基金(20132BAB211009)和江西省教育厅青年科学基金(GJJ12207) 资助 |
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| 摘 要： | 该文研究了某类二阶非齐次周期微分方程的次正规解的存在性,解的增长性及振荡性.同时也研究了由上述方程的解生成的微分多项式L(f)=d_2f″+d_1f′+d_0f与小函数的关系,其中d_0(z),d_1(z),d_2(z)为整函数,不同时为0.
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| 关 键 词： | 周期微分方程 次正规解 超级. |
| 收稿时间： | 2012-06-25 |
| 修稿时间： | 2013-10-14 |
Relation Between Small Functions with Differential Polynomials Generated by Solution of Periodic Differential Equations |
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| XIAO Li-Peng.Relation Between Small Functions with Differential Polynomials Generated by Solution of Periodic Differential Equations[J].Acta Mathematica Scientia,2014,34(3):562-572. |
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| Authors: | XIAO Li-Peng |
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| Institution: | Institute of Mathematics and Informations, Jiangxi Normal University, Nanchang |330022 |
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| Abstract: | In this paper, the existence of subnormal solution, the growth and the oscillation of solutions of certain second-order nonhomogeneous periodic differential equation are investigated. Also, the relationship between small functions and differential polynomials L(f)=d2f'+d1f'+d0f generated by solutions of the above equation, where d0(z), d1(z), d2(z) are entire functions that are not all equal to zero, is studied. |
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| Keywords: | Periodic differential equationzz Subnormal solutionzz Hyper-orderzz |
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