ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS

Title & Authors
ON ENTIRE SOLUTIONS OF NONLINEAR DIFFERENCE-DIFFERENTIAL EQUATIONS
Wang, Songmin; Li, Sheng;

Abstract
In this paper, we study the non-existence of finite order entire solutions of nonlinear differential-difference of the form $\small{f^n+Q(z,f)=h}$, where $\small{n{\geq}2}$ is an integer, $\small{Q(z,f)}$ is a differential-difference polynomial in $\small{f}$ with polynomial coefficients, and $\small{h}$ is a meromorphic function of order $\small{{\leq}1}$.
Keywords
difference-differential polynomial;differential polynomial;difference-differential equation;Nevanlinna theory;
Language
English
Cited by
1.
Exponential Polynomials as Solutions of Differential-Difference Equations of Certain Types, Mediterranean Journal of Mathematics, 2016, 13, 5, 3015
2.
Meromorphic Solutions of Complex Differential–Difference Equations, Results in Mathematics, 2017
3.
Good Linear Operators and Meromorphic Solutions of Functional Equations, Journal of Complex Analysis, 2015, 2015, 1
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