Electron. J. Diff. Equ., Vol. 2010(2010), No. 43, pp. 1-12.

Growth of solutions to linear differential equations with entire coefficients of slow growth

Cui-Yan Zhang, Jin Tu

Abstract:
In this article, we investigate the hyper order of solutions of higher-order linear differential equations with entire coefficients of slow growth. We assume that the lower order of the dominant coefficient in the high-order linear equations is less than 1/2, and obtain some results which extend the results in [6,13,14,19].

Submitted February 8, 2010. Published March 25, 2010.
Math Subject Classifications: 30D35, 34M10.
Key Words: Linear differential equations; hyper order, hyper lower order.

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Cui-Yan Zhang
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, 330022, China
email: zhcy0618@163.com
Jin Tu
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, 330022, China
email: tujin2008@sina.com

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