Electron. J. Diff. Eqns., Vol. 2007(2007), No. 134, pp. 1-7.

Sectorial oscillation of linear differential equations and iterated order

Zhao-Jun Wu, Dao-chun Sun

Abstract:
In the present paper, we investigate higher order linear differential equations with entire coefficients of iterated order. Using value distribution theory of transcendental meromorphic functions and covering surface theory, we extend a result on the order of growth of solutions published by Bank and Langley [2].

Submitted June 26 2007. Published October 12, 2007.
Math Subject Classifications: 34M10, 30D35.da
Key Words: Iterated order; iterated convergence exponent.

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Zhao-Jun Wu
Department of Mathematics, Xianning University
Hubei Xianning, 437100, China
email: wuzj52@hotmail.com
Dao-chun Sun
School of Mathematics, South China Normal University
Guangzhou, 510631, China
email: sundch@scnu.edu.cn

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