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亚纯系数的非齐次线性微分方程的振荡解
  • ISSN号：1001-9847
  • 期刊名称：应用数学
  • 时间：0
  • 页码：-
  • 分类：O174.52[理学—数学;理学—基础数学] O175.12[理学—数学;理学—基础数学]
  • 作者机构：[1]江西师范大学数学与信息科学学院,江西南昌330022
  • 相关基金：国家自然科学基金（11126144,11171119）和江西省教育厅青年科学基金（GJJl220T）资助项目
  • 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： 线性微分方程, 亚纯函数, 零点收敛指数, 解空间, Linear differential equations Meromorphic function Exponent of convergenceof zeros Solution subspace
中文摘要：

本文研究关于亚纯系数的非齐次线性微分方程的复振荡，得到方程f（k）＋ak-1fk-1＋…＋a0f=（a0,a1和F是亚纯函数）具有一个振荡解空间，其空间中所有解的零点收敛指数为∞，至多除去一个例外值．

英文摘要：

The complex oscillatory of nonhomogeneous linear differential equations with meromorphic coefficients are discussed. Results concerning the equationf（k）＋ak-1fk-1＋…＋a0F=（a0,a1where a0 ,al ,…, ak-1 and F are meromorphic functions, possessing an oscillatory solution sub- space in which all solutions （which at most one exception） have infinite exponent of conver- gence of zeros are obtained.

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
  • 《应用数学》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:华中科技大学
  • 主编：李大潜
  • 地址：武汉珞喻路1037号华中科技大学逸夫科技大楼南楼902室
  • 邮编：430074
  • 邮箱：yysx_hust@163.com
  • 电话：027-87543831
  • 国际标准刊号：ISSN：1001-9847
  • 国内统一刊号：ISSN：42-1184/O1
  • 邮发代号:38-61
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  • 被引量:4139