Electron. J. Diff. Equ., Vol. 2015 (2015), No. 159, pp. 1-10.

Fermat type differential and difference equations

Kai Liu, Xianjing Dong

Abstract:
This article we explore the relationship between the number of differential and difference operators with the existence of meromorphic solutions of Fermat type differential and difference equations. Some Fermat differential and difference equations of certain types are also considered.

Submitted January 6, 2015. Published June 15, 2015.
Math Subject Classifications: 39B32, 34M05, 30D35.
Key Words: Fermat equations; entire solutions; finite order.

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Kai Liu
Department of Mathematics
Nanchang University
Nanchang, Jiangxi 330031, China
email: liukai418@126.com, liukai@ncu.edu.cn
Xianjing Dong
Department of Mathematics
Nanchang University
Nanchang, Jiangxi 330031, China
email: xjdong05@126.com

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