General \(k\)-dimensional solvable systems of difference equations

DOI10.3390/sym10010008zbMath1390.39032OpenAlexW2780227418MaRDI QIDQ1646256

Stevo Stević

Publication date: 25 June 2018

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym10010008

zbMATH Keywords

characteristic polynomialsystem of difference equationssystem solvable in closed form

Mathematics Subject Classification ID

Partial difference equations (39A14) Difference equations in the complex domain (39A45)

Related Items

Qualitative behavior and solution of a system of three‐dimensional rational difference equations

Cites Work

• On a product-type system of difference equations of second order solvable in closed form
• Solvable subclasses of a class of nonlinear second-order difference equations
• New class of solvable systems of difference equations
• On the dynamics of two exponential type systems of difference equations
• On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\)
• On a third-order system of difference equations with variable coefficients
• On the difference equation \(x_{n+1} = x_nx_{n-k}/(x_{n-k+1}(a + bx_nx_{n-k}))\)
• On some systems of difference equations
• Eventually constant solutions of a rational difference equation
• On a system of difference equations with maximum
• Two-dimensional product-type system of difference equations solvable in closed form
• Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation
• Explicit general solution of planar linear discrete systems with constant coefficients and weak delays
• On some solvable difference equations and systems of difference equations
• On a system of difference equations which can be solved in closed form
• On a \(k\)-order system of Lyness-type difference equations
• Note on the binomial partial difference equation
• On Impulsive Beverton-Holt Difference Equations and their Applications
• On a solvable system of rational difference equations
• Invariants for systems of two nonlinear difference equations
• Invariants and oscillation for systems of two nonlinear difference equations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item