J4 ›› 2012, Vol. 47 ›› Issue (8): 31-33.

• Articles • Previous Articles     Next Articles

On the growth of meromorphic solutions of second order  linear differential equations

LONG Jian-ren, WU Peng-cheng   

  1. School of Mathematical and Computer Science, Guizhou Normal University, Guiyang 550001, Guizhou, China
  • Received:2011-09-05 Online:2012-08-20 Published:2012-12-24

Abstract:

The growth of meromorphic solutions of two classes of second order linear differential equations is investigated by using the theory of the value distributions of meromorphic functions. Some sufficient conditions that all non-trivial solutions are of infinite order are obtained.

Key words: linear differential equation; growth of order; meromorphic functions

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