On the Existence of Entire Solutions of Certain Class of Nonlinear Difference Equations

被引：27

作者：

Latreuch, Zinelaabidine ^{[1
]}

机构：

[1] Univ Mostaganem UMAB, Lab Pure & Appl Math, Dept Math, BP 227, Mostaganem, Algeria

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 03期

关键词：

Entire functions; nonlinear difference equations;

D O I：

10.1007/s00009-017-0914-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the existence and nonexistence of entire solutions of finite and infinite order of certain nonlinear difference equations of the form f(n) (z) + L (z, f) = p1 (z)e(alpha 1 (z)) + p(2) (z)e (alpha 2(z)), n >= 3 where pi (z), alpha(i) (z) (i = 1, 2) are polynomials and L(z, f) is a nonzero linear difference polynomial in f, we give also an affirmative answer to the conjecture posed by Zhang et al. (Adv Differ Equ 2015: 150, 2015).

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页数：16

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