Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (4): 945-952.

• Articles • Previous Articles     Next Articles

Growth of Solutions of Higher Order Linear Differential Equations with the Coefficient A0 Being Dominant

 TU Jin1, DENG Guan-Tie2   

  1. 1.College of Mathematics and Information Science, Jiangxi Normal University, Nanchang 330022|2.School Mathematics Science and Lab. Math. Com. Sys., Beijing Normal University, Beijing 100875
  • Received:2009-03-16 Revised:2010-04-09 Online:2010-07-25 Published:2010-07-25
  • Supported by:

    国家自然科学基金(10671022)、江西省教育厅青年科学基金(GJJ09463)和江西省自然科学基金(2009GQS0013)资助

Abstract:

In this paper, the authors investigate the growth of solutions of a class of higher order linear homogenous differential equations, where the coefficient A0 is dominating to the growth of solutions of the equations. Two main results are obtained: one is in the complex plane and the other is in the unit disc, which are improvements of some previous results.

Key words: Differential equations, Entire function, Unit disc, Iterated order, Iterated type

CLC Number: 

  • 30D35
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