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关于单位圆内解析系数的线性微分方程的复振荡理论
  • ISSN号：1003-3998
  • 期刊名称：《数学物理学报：A辑》
  • 时间：0
  • 分类：O174.52[理学—数学;理学—基础数学]
  • 作者机构：[1]南昌大学数学系,南昌330031, [2]山东大学数学系,济南250100
  • 相关基金：国家自然科学基金（10771121）和高校博士点专项科研基金（20060422049）资助
作者： 曹廷彬[1], 仪洪勋[2]
关键词： 线性微分方程, 解析函数, 复振荡理论, 单位圆, Linear differential equation, Analytic function, Complex oscillation theory, Unit disc
中文摘要：

该文研究了线性微分方程L（f）=f（k）＋Ak-1（z）f（k-1）＋…＋Ao（z）f=F（z）（k∈N）的复振荡理论，其中系数Aj（z）（j=0，…，k-1）和F（z）是单位圆△={z：｜z｜〈1）内的解析函数．作者得到了几个关于微分方程解的超级，零点的超收敛指数以及不动点的精确估计的定理．

英文摘要：

The complex oscillation theory of linear differential equations of the form L（f） = f（k） ＋ Ak-1（z）f（k-1） ＋ ……＋ Ao（z）f = F（z） （k ∈ N） is investigated, where the coefficients Aj（z）（j = 0,..., k - 1） and F（z） are analytic functions in the unit disc △ = （z： ｜z｜ 〈 1}. The authors obtain several precise theorems about the hyper order, the hyper convergence exponent of zero points and fixed points of solutions of differential equations.

同期刊论文项目
函数唯一性与复域微分方程
期刊论文 60
同项目期刊论文
Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their der
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Uniqueness of Meromorphic Functions Sharing One Set
圆环内亚纯函数分担IM集合的唯一性定理
期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 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:5382