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On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations 被引量:10

On the Growth of Components of Meromorphic Solutions of Systems of Complex Differential Equations
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摘要 This paper investigates the problem of the growth of the components of meromorphic solutions of a class of a system of complex algebraic differential equations, and generalized some of N. Toda's results concerning the growth of differential equations to the case of systems of differential equations. The paper considers the existence of admissible solutions of the system of differential equations. This paper investigates the problem of the growth of the components of meromorphic solutions of a class of a system of complex algebraic differential equations, and generalized some of N. Toda's results concerning the growth of differential equations to the case of systems of differential equations. The paper considers the existence of admissible solutions of the system of differential equations.
作者 Ling-yun Gao
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2005年第3期499-504,共6页 应用数学学报(英文版)
基金 Supported by the Natural Science Foundation of China (No.10471065) and the Natural Science Foundation of Guangdong Province (No.04010474)
关键词 Meromorphic solution characteristic functions systems of differential equations Meromorphic solution, characteristic functions, systems of differential equations
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  • 1Steven B. Bank,Ilpo Laine.On the zeros of meromorphic solutions of second-order linear differential equations[J].Commentarii Mathematici Helvetici.1983(1)
  • 2Steven B. Bank,Robert P. Kaufman.On the growth of meromorphic solutions of the differential equation (y′) m =R(z, y)[J].Acta Mathematica.1980(1)
  • 3Gao Lingyun.On admissible solutions of two types of systems of algebraic differential equations in the complex plane[].Acta Mathematica Sinica.2000
  • 4Yi Hongxun.Uniqueness of meromorphic functions and a question of C.C. Yang[].Complex Variables.1990
  • 5Bank S B.On the growth of solutions of algebraic differential equation[].Tran of the Amer Math Society.1978
  • 6He Yuzan,Xiao Xiuzhi.Algebroid functions and ordinary differential equations[]..1988

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