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一类二阶复域微分方程的解与小函数的关系
  • ISSN号：1005-0523
  • 期刊名称：华东交通大学学报
  • 时间：0
  • 页码：-
  • 分类：O175.1[理学—数学;理学—基础数学] O314[理学—一般力学与力学基础;理学—力学]
  • 作者机构：[1]Institute of Mathematics and Information, Jiangxi Normal University, Jiangxi 330022, P. R. China
  • 相关基金：Supported by the National Natural Science Foundation of China （Grant Nos. 11126144; 11171119）, the Youth Science Foundation of Education Bureau of 3iangxi Province （Grant No. G J J12207） and the Natural Science Foundation of Jiangxi Province （No. 20132BAB211009）.
  • 相关项目：周期微分方程与单位圆内的微分方程解的性质
作者： 李明星|肖丽鹏|
关键词： 微分方程解, 周期, 高阶, 物业, 线性差分方程, 线性关系, 整函数, 非恒定, differential equation, linearly dependent, periodic coefficients.
中文摘要：

In this paper, the property of linear dependence of solutions for higher order linear differential equation f(k)(z)+Ak-2(z)f(k-2)(z) + ··· + A0(z)f(z) = 0, (*) where Aj(z) (j = 0, 2, . . . , k-2) are constants and A 1 is a non-constant entire function of period 2πi and rational in ez , is investigated. Under certain condition, the representation of solution of Eq. (*) is given, too.

英文摘要：

In this paper, the property of linear dependence of solutions for higher order linear differential equation f（k）（z）＋Ak-2（z）f（k-2）（z）＋…＋A0（z）f（z）=0,（＊） where Aj（z）（j=0,2,…,k-2） are constants and A1 is a non-constant entire function of period 2πi and rational in ez, is investigated. Under certain condition, the representation of solution of Eq（＊） is given, too.

同期刊论文项目
周期微分方程与单位圆内的微分方程解的性质
期刊论文 10
复域差分, 差分方程和微分方程的研究
期刊论文 126 著作 1
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期刊信息
  • 《华东交通大学学报》
  • 中国科技核心期刊
  • 主管单位:华东交通大学
  • 主办单位:华东交通大学
  • 主编：何柏林
  • 地址：天津市大寺泉集北里别墅17号联合征订服务部
  • 邮编：300385
  • 邮箱：jdxb@ecjtu.jx.cn
  • 电话：0791-87046655
  • 国际标准刊号：ISSN：1005-0523
  • 国内统一刊号：ISSN：36-1035/U
  • 邮发代号:
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  • 波兰哥白尼索引,中国中国科技核心期刊
  • 被引量:9060