Two-dimensional product-type system of difference equations solvable in closed form

DOI10.1186/s13662-016-0980-6zbMath1419.39012OpenAlexW2529146438WikidataQ59459979 ScholiaQ59459979MaRDI QIDQ1628095

Stevo Stević, Zdeněk Šmarda, Bratislav D. Iričanin

Publication date: 3 December 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-016-0980-6

zbMATH Keywords

system of difference equationsproduct-type systemsolvable in closed form

Mathematics Subject Classification ID

Additive difference equations (39A10) Multiplicative and other generalized difference equations (39A20)

Related Items (16)

Solvability of a class of product-type systems of difference equations ⋮ Bounded and periodic solutions to the linear first-order difference equation on the integer domain ⋮ Existence of a unique bounded solution to a linear second-order difference equation and the linear first-order difference equation ⋮ Some representations of the general solution to a difference equation of additive type ⋮ General \(k\)-dimensional solvable systems of difference equations ⋮ On the solutions of a max-type system of difference equations with period-two parameters ⋮ Representations of solutions to linear and bilinear difference equations and systems of bilinear difference equations ⋮ On some classes of solvable systems of difference equations ⋮ Product-type system of difference equations with a complex structure of solutions ⋮ Solution to the solvability problem for a class of product-type systems of difference equations ⋮ Solvability of the class of two-dimensional product-type systems of difference equations of delay-type \((1,3,1,1)\) ⋮ Solvable three-dimensional product-type system of difference equations with multipliers ⋮ Existence and global attractivity of periodic solutions to some classes of difference equations ⋮ On a solvable class of product-type systems of difference equations ⋮ On a solvable symmetric and a cyclic system of partial difference equations ⋮ Solvability of a general class of two-dimensional hyperbolic-cotangent-type systems of 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
• 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
• A short proof of the Cushing-Henson conjecture
• On a system of two nonlinear difference equations
• On a generalized max-type difference equation from automatic control theory
• Product-type system of difference equations of second-order solvable in closed form
• Asymptotic 2–periodic difference equations with diagonally self–invertible responses
• 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
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