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高阶复线性微分方程解的角域增长性 被引量:1

GROWTH OF SOLUTIONS OF HIGHER ORDER COMPLEX LINEAR DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAIN
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摘要 本文研究了高阶复线性微分方程解在角域上的增长性问题.利用Nevanlinna理论和共形变换的方法,获得了一些使得方程非平凡解在角域上有快速增长的系数条件,这些结果丰富了复方程解在角域上增长性的研究. We study the growth problem of solutions of higher order complex linear differential equations in an angular domain of the complex plane.By using the Nevanlinna theory and the properties of conformal transformation,some conditions on coefficient functions,which will guarantee all non-trivial solutions of the higher order differential equations have fast growing,are found in this paper.These conditions improve that the studying of the growth of solutions of complex differential equations in an angular domain.
作者 龙见仁
出处 《数学杂志》 CSCD 北大核心 2015年第6期1533-1540,共8页 Journal of Mathematics
基金 贵州省科学技术基金(黔科合J字[2015]2112号) 国家自然科学基金资助(11171080)
关键词 复微分方程 解析函数 迭代n级 角域 单位圆 complex differential equation analytic function iterated n-order angular domain unit disc
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  • 1Hayman W K. Meromorphic functions [M]. Oxford: Clarendon Press, 1964.
  • 2Zhang G H. Theory of entire and meromorphic functions-deficient and asymptotic values and sin- gular directions [M]. Berlin: Springer-Verlag, 1993.
  • 3Tsuji M. Potential theory in modern function theory [M]. New York: Chelsea, 1975.
  • 4Laine I. Nevanlinna theory and complex differential equations [M]. New York: Walter de Gruyter, 1993.
  • 5Laine I. Complex differential equations [M]. Handbook of Differential Equations, Ordinary Differ- ential Equations, Vol. 4, Amsterdam: Elsevier, 2008.
  • 6Heittokangas J. On complex differential equations in the unit disc [D]. Ann. Acad. Sci. Fenn. Math. Diss., 2000, 122: 1-54.
  • 7Chen Z X, Shon K H. The growth of solutions of differential equations with coefficients of small growth in the disc [J]. J. Math. Anal. Appl., 2004, 297: 285-304.
  • 8Cao T B. The growth, oscillation and fixed points of solutions of complex linear differential equations in the unit disc [J]. J. Math. Anal. Appl., 2009, 352: 739-748.
  • 9彭锋,陈裕先,陈宗煊.关于一类二阶微分方程解的增长性[J].数学杂志,2013,33(1):127-137. 被引量:1
  • 10陈宗煊.一类单位圆内微分方程解的性质[J].江西师范大学学报(自然科学版),2002,26(3):189-190. 被引量:20

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