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Meromorphic Solutions of Difference Equations

2000
Of course, difference equations and differential equations are in intimate relations. But there are several dissimilarities between them.
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On Meromorphic Solutions of the Fermat Type Difference Equations

Mediterranean Journal of Mathematics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qi, Xiaoguang, Yang, Lianzhong
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Meromorphic Solutions of a Differential Equation with Polynomial Coefficients

Computational Methods and Function Theory, 2007
The author considers a first order differential equation of the form \[ f'=P_0+P_1\cdot f+\dots+P_n\cdot f^n,\quad n\geq3 \tag{1} \] where each \(P_k\) is a polynomial, \(P_n\neq0\). Since \(n\geq3\), it follows from the Malmquist Theorem that any meromorphic solution of equation (1) must necessarily be a rational function. Furthermore, it was shown by
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Transcendental meromorphic solutions of certain types of differential equations

Journal of Mathematical Analysis and Applications, 2022
Jun-Fan Chen
exaly

On meromorphic solutions of first-order Briot-Bouquet type PDEs

Journal of Mathematical Analysis and Applications, 2020
Elias Saleeby
exaly

On meromorphic solutions of nonlinear delay-differential equations

Journal of Mathematical Analysis and Applications, 2022
Zhiqiang Mao
exaly

Explicit expressions for meromorphic solutions of autonomous nonlinear ordinary differential equations

Communications in Nonlinear Science and Numerical Simulation, 2011
Nikolai Kudryashov, Maria Demina
exaly

Meromorphic solutions of generalized Schröder equations

Aequationes Mathematicae, 2002
Janne Heittokangas
exaly

Meromorphic solutions of generalized inviscid Burgers' equations and a family of quadratic PDEs

Journal of Mathematical Analysis and Applications, 2015
Elias Saleeby
exaly