Exponential Polynomials as Solutions of Differential-Difference Equations of Certain Types

被引：13
|
作者：
Liu, Kai [1 ,2 ]
机构：
[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China
[2] Univ Eastern Finland, Dept Math & Phys, Joensuu 80101, Finland
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 05期
关键词：
Differential; difference equations; exponential polynomials; finite order; NONLINEAR DIFFERENCE;
D O I：
10.1007/s00009-015-0669-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the exponential polynomials solutions of non-linear differential-difference equation , where q(z), Q(z), P(z) are polynomials and n, k are positive integers and the linear differential-difference equation . Our results show that any exponential polynomials' solutions of the above two differential-difference equations should have special forms. This paper is a continuation of Wen et al. (Acta Math Sin 28(7):1295-1306, 2012).
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页码：3015 / 3027
页数：13
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