数学物理学报(英文版) ›› 2015, Vol. 35 ›› Issue (1): 105-111.doi: 10.1016/S0252-9602(14)60143-0

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GROWTH OF MEROMORPHIC SOLUTIONS OF SOME ALGEBRAIC DIFFERENTIAL EQUATIONS

李叶舟|戚建明|袁文俊   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, China School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
  • 收稿日期:2014-02-11 出版日期:2015-01-20 发布日期:2015-01-20
  • 基金资助:

    The first author is supported by the NNSF of China (11101048). The second author is supported by the Tianyuan Youth Fund of the NNSF of China (11326083), the Shanghai University Young Teacher Training Program (ZZSDJ12020), the Innovation Program of Shanghai Municipal Education Commission (14YZ164) and and the Projects (13XKJC01) from the Leading Academic Discipline Project of Shanghai Dianji University. The third author is supported by the NNSF of China (11271090) and the NSF of Guangdong Province (S2012010010121).

GROWTH OF MEROMORPHIC SOLUTIONS OF SOME ALGEBRAIC DIFFERENTIAL EQUATIONS

LI Ye Zhou, QI Jian Ming, YUAN Wen Jun   

  1. School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 200240, China School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
  • Received:2014-02-11 Online:2015-01-20 Published:2015-01-20
  • Supported by:

    The first author is supported by the NNSF of China (11101048). The second author is supported by the Tianyuan Youth Fund of the NNSF of China (11326083), the Shanghai University Young Teacher Training Program (ZZSDJ12020), the Innovation Program of Shanghai Municipal Education Commission (14YZ164) and and the Projects (13XKJC01) from the Leading Academic Discipline Project of Shanghai Dianji University. The third author is supported by the NNSF of China (11271090) and the NSF of Guangdong Province (S2012010010121).

摘要:

In this paper, by means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related result of Barsegian et al. [6]. We also give some examples to show that our results occur in some special cases.

关键词: the normal family theory, algebraic differential equations, meromorphic solutions,  growth

Abstract:

In this paper, by means of the normal family theory, we estimate the growth order of meromorphic solutions of some algebraic differential equations and improve the related result of Barsegian et al. [6]. We also give some examples to show that our results occur in some special cases.

Key words: the normal family theory, algebraic differential equations, meromorphic solutions,  growth

中图分类号: 

  • 34A20