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Acta Mathematica Sinica

, Volume 21, Issue 4, pp 753–764 | Cite as

On the Growth and Fixed Points of Solutions of Second Order Differential Equations with Meromorphic Coefficients

  • Zong Xuan ChenEmail author
  • Kwang Ho Shon
ORIGINAL ARTICLES

Abstract

In this paper, we investigate the growth and fixed points of solutions and their 1st, 2nd derivatives, differential polynomial of second order linear differential equations with meromorphic coefficients, and obtain that the exponents of convergence of these fixed points are all equal to the order of growth.

Keywords

Differential equation Meromorphic function Order of growth Fixed point  

MR (2000) Subject Classification

30D35 34A20 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Department of MathematicsSouth China Normal UniversityGuangzhou 510631P. R. China
  2. 2.Department of MathematicsCollege of Natural Sciences, Pusan National UniversityPusan 609–735Korea

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