Journal of Shanghai Jiaotong University ›› 2013, Vol. 47 ›› Issue (07): 1155-1159.

• Mathematical sciences and chemical • Previous Articles     Next Articles

Growth of Solutions of Higher Order Linear Differential Equations and Its  Small Functions

JIN  Jin
  

  1. (Mathematics Department,  Bijie University, Bijie 551700, Guizhou, China)
  • Received:2012-09-24 Online:2013-07-30 Published:2013-07-30

Abstract:

The growth of solutions to higher order linear differential equations and its small functions was investigated using the Nevanlinna value distribution theory of entire functions and the investigation skills of complex differential equations. The relation between the 1st, 2nd derivatives and the small functions was discussed, and precise estimate was obtained, which improved and generalized some results in literature.
 

Key words: linear differential equations; entire function; small function, exponent of convergence

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