Journal of Shanghai University(Natural Science Edition) ›› 2014, Vol. 20 ›› Issue (6): 733-740.doi: 10.3969/j.issn.1007-2861.2014.01.008

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Growth of Solutions of a Class of Higher Order Non-homogeneous Linear Differential Equations with Meromorphic Coefficients

 JIN  Jin, FAN  Yi, ZUO  Jian-Jun, WU  Ling-Ling   

  1. Mathematics Department, Bijie University, Bijie 551700, Guizhou, China
  • Received:2013-09-13 Online:2014-12-23 Published:2014-12-23

Abstract: Using the Nevanlinna theory of value distribution of meromorphic functions,and the methods of differential equations, relationship is investigated between the higher order linear differential equations with meromorphic coefficients and functions with smaller growth, and precise estimation is obtained between meromorphic solutions of nonhomogeneous linear differential equations and functions with smaller growth.

Key words: linear differential equations, meromorphic function, the order of growth;hyper-order

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