Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (4): 759-765.

• Articles • Previous Articles     Next Articles

Further Results of Gol'dberg's Theorem Concerning the Growth of Meromorphic Solutions of |Algebraic Differential Equations

 QI Jian-Ming1,3,4, LI Ye-Zhou2, YUAN Wen-Jun3,4   

  1. 1.Department of Mathematics and Physics, Shanghai Dianji University, Shanghai 201306;
    2.School of Science, Beijing University of Posts and Telecommunications, Beijing |100876;
    3.School of Mathematics and Information Sciences, Guangzhou University, |Guangzhou  |510006;
    4.Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institutes, Guangzhou
    University, Guangzhou 510006
  • Received:2012-02-23 Revised:2013-07-21 Online:2013-08-25 Published:2013-08-25
  • Supported by:

    国家自然科学基金(11271090, 11101048, 10871130, 11171184)、上海高校青年教师培养资助计划(ZZSDJ12020)、广东省自然科学基金(S2012010010121)和上海电机学院重点培育项目(12C104, 12C401, 10XKJ01) 资助

Abstract:

In this paper, by means of the normal family theory, we give a general estimate result of Gol'dberg's theorem concerning finite growth order of meromorphic solutions of higher order algebraic differential equations. We also estimate the growth order of meromorphic solutions of a type system of a special algebraic differential equations. We also give some
examples to show that our results are interesting.

Key words: Meromorphic function, Normal family, Growth order, Algebraic differential equation system

CLC Number: 

  • 34A20
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