Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (4): 918-922.

• Articles • Previous Articles     Next Articles

On the Estimate of Growth of Entire Solutions of Some Classes of Algebric Differential Equations

 GU Rong-Mei, DING Jian-Jun, YUAN Wen-Jun   

  1. School of Mathematics and Information Sciences, Guangzhou University, Guangzhou 510006
  • Received:2009-07-18 Revised:2010-08-29 Online:2011-08-25 Published:2011-08-25
  • Supported by:

    国家自然科学基金(10441220)、国家教育部博士点基金(200810780002)和广州市教育局科技计划项目(62035)资助

Abstract:

In this note, the authors give a general estimate of finite growth order of entire solutions  of some classes of algebraic differential equations by using the normal family theory, and also discuss a specific class of algebraic differential equations, in which the order of any transcendental entire solution is one.

Key words: Entire function, Normal family, Algebraic differential equations

CLC Number: 

  • 34A20
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