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复域内代数微分方程组的可允许解 被引量:9

Admissible Solutions of Systems of Some Algebraic Differential Equations in the Complex Plane
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摘要 本文讨论复域内高阶代数微分方程组亚纯解的存在性问题,指出在一定条件下解的增长性特征,得到更一般、更精确的结果。 This paper discusses the existence of the admissible solutions of systems of some algebraic differential equations by using the Nevanlinna's value distribution theory. The results obtained are included in theorems 1-5, which has generalized and improved some known results.
作者 吴桂荣
出处 《福建师范大学学报(自然科学版)》 CAS CSCD 1992年第1期16-20,共5页 Journal of Fujian Normal University:Natural Science Edition
关键词 亚纯函数 特征函数 可允许解 meromorphic functions, characteristic functions, admissible solutions, order, type
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同被引文献36

  • 1高凌云.复域内一类微分方程组的m分量──非可允许解[J].湖北大学学报(自然科学版),1996,18(2):142-145. 被引量:2
  • 2高凌云.代数微分方程组允许解的值分布[J].系统科学与数学,2007,27(4):629-632. 被引量:5
  • 3LI K S,ChAN W L.Meromorphic solutions of higher-order systems of algebraic differential equations[J].Math.Scand,1992,71(1):105-121.
  • 4GAO Ling-yun,SUN Dao-chun,XIAO Xiu-zhi.M-entier admissible components of a type of a system of algebraic differential equations[J].Kyungpook Math J,1998,38(2):341-350.
  • 5HE Yu-zhan,XIAO Xiu-zhi.Admissible solutions of ordinary differential equations[J].Contemporary Math,1983,25:51-61.
  • 6LI Jian-shun.Meromorphic solutions of system of algebraic differential equations[J].J of Math,1993,3(2):173-179.
  • 7TU Zhen-han,XIAO Xiu-zhi.On the meromorphic solutions of system of higher-order algebraic differential equations[J].Complex.variables,1990,15:197-209.
  • 8ZHANG Wen-teng.Non-admissible solutions of a type of systems of differential equations[J].J of Math,2004,24:381-384.
  • 9Toda N.On the conjecture of gackstatter and laine concerning the differential equation (w')^n = ∑j=1^mai(z)w^j[J]. godai Math.J.,1983,6(2):238-249.
  • 10Laine I. Nevanlinna Theory and Compiex Differential Equation [M].Berlin:Walter de Gruyter, 1993.

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