Electron. J. Diff. Equ., Vol. 2013 (2013), No. 59, pp. 1-10.

Entire solutions of Fermat type q-difference differential equations

Kai Liu, Ting-Bin Cao

Abstract:
In this article, we describe the finite-order transcendental entire solutions of Fermat type q-difference and q-difference differential equations. In addition, we investigate the similarities and other properties among those solutions.

Submitted November 25, 2012. Published February 26, 2013.
Math Subject Classifications: 39B32, 34M05, 30D35.
Key Words: q-difference equations; q-difference differential equations; entire solutions; finite order.

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Kai Liu
Department of Mathematics, Nanchang University
Nanchang, Jiangxi, 330031, China
email: liukai418@126.com
Ting-Bin Cao
Department of Mathematics, Nanchang University
Nanchang, Jiangxi, 330031, China
email: tbcao@ncu.edu.cn

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