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某类高阶周期线性微分方程解的性质
  • ISSN号：0255-7797
  • 期刊名称：《数学杂志》
  • 时间：0
  • 分类：O175.2[理学—数学;理学—基础数学]
  • 作者机构：[1]华南师范大学数学科学学院,广东广州510631
  • 相关基金：国家自然科学基金基金资助 （10871076）
作者： 朱丹晓[1], 陈宗煊[1]
关键词： 周期线性微分方程, e-型级, e-型零点收敛指数, 线性无关, periodic differential equation, e-type order, e-type exponent of convergence, linearly independent.
中文摘要：

本文研究了一类高阶周期系数线性微分方程解的性质问题. 利用复分析的相关理论和方法, 获得了在一些假设条件下, 当方程的系数 As 起控制作用时, 方程 f^（k） ＋ A^k-2f^（k-2） ＋ ...＋Asf^（s） ＋ ... ＋ A0f = 0 的任意两个线性无关解 f1,f2 满足λe（f1f2） ≥σe（As） 的结果, 推广了肖丽鹏的一个结果.

英文摘要：

In this article,we investigate properties of solutions for higher-order periodic differential equations.By using theory and method of complex analysis,we obtain that under certain condition,when As of equation f^（k） ＋ Ak-2^f（k-2） ＋...＋ Asf^（s） ＋...＋ A0f = 0 is the dominant coefficient,the e-type convergence exponent of zeros of the product of its two linearly independent solutions satisfies λe（f1f2） ≥ σe（As）.The results obtained are generalization of a result due to Xiao Lipeng.

同期刊论文项目
复域差分, 差分方程与微分方程的解析性质
期刊论文 62
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Zeros of Entire Solutions to Complex Linear Difference Equations
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On Properties of Finite Order Meromorphic Solutions of Certain Difference Painleve I equation
具有缺项级数系数的高阶齐次线性微分方程解的性质
单位圆內的随机亚纯函数
Value distribution of products of meromorphic functions and their differences
单位圆内的随机亚纯函数
关于孤立性定理
高阶非齐次线性微分方程解的性质
一类高阶周期系数线性微分方程解的性质
与线性微分多项式有一个公共值的整函数
Value Distribution of Meromorphic Solutions of Some q-Difference Equations
期刊信息
  • 《数学杂志》
  • 北大核心期刊（2011版）
  • 主管单位:中华人民共和国教育部
  • 主办单位:武汉大学 湖北省数学学会 武汉数学学会
  • 主编：陈化
  • 地址：湖北武汉大学
  • 邮编：430072
  • 邮箱：jmath@whu.edu.cn
  • 电话：027-68754687
  • 国际标准刊号：ISSN：0255-7797
  • 国内统一刊号：ISSN：42-1163/O1
  • 邮发代号:38-71
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3910