期刊文献+

单位圆内高阶微分方程解的一些结果 被引量:3

SOME RESULTS OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN THE UNIT DISC
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摘要 研究了在单位圆内的高阶微分方程.设f是高阶微分方程的解,得到了f分别属于加权Dirichlet空间Dq和Bergman空间Lap的一个充分条件,并得到了f是不可容许解的一个充分条件. The higher order differential equation solution of the higher order differential equation, in the unit disc is considered. Let f be a a sufficient condition forf belonging to the weighted Diriehlet space Dq or to the Bergman space La^p, respectively, is obtained. Furthermore, a sufficient condition for f to be non - admissible is also given.
作者 王丽 陈宗煊
出处 《华南师范大学学报(自然科学版)》 CAS 2007年第3期8-13,共6页 Journal of South China Normal University(Natural Science Edition)
基金 广东省自然科学基金资助项目(04010360)
关键词 单位圆 微分方程 unit disc differential equation order
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参考文献6

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同被引文献32

  • 1陈宗煊,孙光镐.一类二阶微分方程的解和小函数的关系[J].数学年刊(A辑),2006,27(4):431-442. 被引量:29
  • 2陈宗煊.关于超越亚纯系数微分方程亚纯解的零点[J].系统科学与数学,1997,17(2):148-155. 被引量:7
  • 3LAINE I.Nevanlinna Theory and Complex Differential Equations[M].Berlin:Walter de Gruyter,1993.
  • 4FRANK G,HENNEKEMPER W.Einige Ergebnisse über die Werteverteilung meromorpher Funktionen und ihrer Ableitungen[J].Resultate Math,1981,4:39-54.
  • 5CHEN Zong-xuan,SHON Kwang-ho.The growth of solutions of differential equations with coefficients of small growth in the disc[J].J Math Anal Appl,2004,297:285-304.
  • 6HEITTOKANGAS J.On complex differential equations in the unit disc[J].Ann Acad Sci Fenn Math(Dissertations),2002,122:1-54.
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  • 8Pommerenke C. On the mean growth of the solutions of complex linear differential equations in the disk [ J ]. Complex Variables, 1982,1 ( 1 ) : 23-38.
  • 9何育赞,肖治经.单位圆内微分方程 的解[J]:中国学术期刊文摘:科技快报,1999(5):164-166.
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