On constructing solutions for the functional equation \(Z(x, y, n) = Z(a_{11} x + a_{12} y, a_{21} x + a_{22} y, n + 1)\)

DOI10.1016/j.amc.2014.03.133zbMath1334.39022OpenAlexW2746903603MaRDI QIDQ275004

M. Rafei, Wim T. van Horssen

Publication date: 25 April 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.03.133

zbMATH Keywords

functional equationseparation of variablesdifference equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12)

Related Items (2)

Multiple scales and matched asymptotic expansions for the discrete logistic equation ⋮ On asymptotic approximations of first integrals for second order difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Meromorphic solutions of some linear functional equations
• Symmetries and first integrals of ordinary difference equations
• 𝑞-difference operators, orthogonal polynomials, and symmetric expansions
• The Similarity Method for Difference Equations
• A Perturbation Method Based on Integrating Factors
• On the Applicability of the Method of Separation of Variables for Partial Difference Equations
• On Invariance Factors and Invariance Vectors for Difference Equations
• Nevanlinna theory for the $q$-difference operator and meromorphic solutions of $q$-difference equations
• Functional equations and how to solve them

This page was built for publication: On constructing solutions for the functional equation \(Z(x, y, n) = Z(a_{11} x + a_{12} y, a_{21} x + a_{22} y, n + 1)\)