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The Growth Order of Solutions of Systems Complex Difference Equations

The Growth Order of Solutions of Systems Complex Difference Equations
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摘要 In this paper, using Nevanlinna theory of the value distribution of meromorphic functions, the problem of growth order of solutions of a class of system of complex difference equations is investigated, some results are improved and generalized. More precisely,some results of the growth order of solutions of system of differential equations to difference equations are extended.
作者 LI Xiong-ying
出处 《Chinese Quarterly Journal of Mathematics》 2018年第1期25-31,共7页 数学季刊(英文版)
基金 Project Supported by the fundamental research funds for the Central Universities project of China(No.11614801) Combining with the project of Guangdong Province production(No.2011A090200044)
关键词 system of complex difference equations the growth order entire function valuedistribution theory 微分方程 生长 系统 Nevanlinna 函数
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  • 1Hayman W K. Meromorphic Functions. Oxford: Clarendon Press, 1964.
  • 2Bank S, Kaufman R. On meromorphic solutions of first-order differential equations. Comment Math Helv, 1976, 51:289-299.
  • 3Barsegian G. Estimates of derivatives of meromorphic functions on set of a-points. J London Math Soc, 1986, 34(2): 534 -540.
  • 4He Yuzan, Xiao Xuizhi. Algebroid functions and ordinary differential equation (in Chinese). Beijing: Science Press, 1988.
  • 5Barsegian G. On a method of study of algebraic differential equations. Bull Hong Kong Math Soc, 1998, 2:159-164.
  • 6Gol'dberg A A. On single-wlued solutions of algebraic differential equations. Ukrain Mat Zh, 1956, 8: 254 261.
  • 7Hayman W K.The growth of solutions of algebraic differential equations. Rend Mat Acc Lincei, 1996, 7: 67-73.
  • 8Bergweiler W. On a theorem of Gol'dberg concerning meromorphic solutions of algebraic differential equa- tions. Complex Variables, 1998, 37:93 -96.
  • 9Frank G, Wang Yuefei. On the meromorphic solutions of algebraic differential equations. Analysis, 1998, 18:49-54.
  • 10Zalcman L. Normal families: New perspectives. Bull Amer Math Soc, 1998, 35:215-230.

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