On analogies between nonlinear difference and differential equations
On analogies between nonlinear difference and differential equations
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DOI：
10.3792/pjaa.86.10
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发表时间：
2010
期刊：
影响因子：
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通讯作者：
Chung-Chun Yang;I. Laine
中科院分区：
文献类型：
--
作者：
Chung-Chun Yang;I. Laine
本文指出了一类非线性微分方程有限阶全解与f n + L(z, f) = h形式的微分-差分方程的存在唯一性的一些相似之处。这里n是整数bbb2， h是给定的有限阶非消失亚纯函数，L（z, f）是一个以小亚纯函数为系数的线性微分-差分多项式。
In this paper, we point out some similarities between results on the existence and uniqueness of finite order entire solutions of the nonlinear differential equations and differential-difference equations of the form f n + L(z, f) = h. Here n is an integer >2, h is a given non-vanishing meromorphic function of finite order, and L(z, f) is a linear differential-difference polynomial, with small meromorphic functions as the coefficients.