Electron. J. Diff. Eqns., Vol. 2006(2006), No. 54, pp. 1-8.

Growth of solutions of complex differential equations with coefficients of finite iterated order

Jin Tu, Zongxuan Chen, Xiumin Zheng

Abstract:
In this paper, we investigate the growth of solutions to the differential equation
$$ f^{(k)}+A_{k-1}(z)f^{(k-1)}+\dots+A_0(z)f=F(z), $$
where the coefficients are of finite iterated order.

Submitted January 17, 2006. Published April 28, 2006.
Math Subject Classifications: 30D35, 34M10.
Key Words: Differential equations; growth of solutions; iterated order.

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Jin Tu
School of Mathematical Sciences, Beijing Normal University
Beijing, 100875, China
email: tujin2008@sina.com
Zongxuan Chen
Department of Mathematics, South China Normal University
Guangzhou, 510631, China
email: chzx@sina.com
  Xiumin Zheng
Institute of Mathematics and Information, Jiangxi Normal University
Nanchang, 330027, China
email: xiaogui88@sohu.com

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