A group theory approach towards some higher order difference equations, solutions, periodicity and asymptotic behavior

DOI10.2989/16073606.2020.1728417zbMath1470.39008OpenAlexW3007986995MaRDI QIDQ4992645

Mensah K. Folly-Gbetoula, Darlison Nyirenda

Publication date: 9 June 2021

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2020.1728417

zbMATH Keywords

symmetryreductiondifference equationgroup invariant solutions

Mathematics Subject Classification ID

Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23)

Cites Work

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• On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\)
• Representations of general solutions to some classes of nonlinear difference equations
• Symmetries, associated first integrals, and double reduction of difference equations
• The existence of Lie symmetries for first-order analytic discrete dynamical systems
• Difference Equations by Differential Equation Methods
• Basic differential equations models
• Lie group formalism for difference equations
• Lie symmetry analysis and explicit formulas for solutions of some third-order difference equations
• Lie symmetries and the integration of difference equations

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