On a product-type system of difference equations of second order solvable in closed form

DOI10.1186/s13660-015-0835-9zbMath1333.39006OpenAlexW1962069087WikidataQ59428193 ScholiaQ59428193MaRDI QIDQ262669

Stevo Stević, Zdeněk Šmarda, Bratislav D. Iričanin

Publication date: 30 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-015-0835-9

zbMATH Keywords

system of difference equationsproduct-type systemsecond order systemsolvable in closed form

Mathematics Subject Classification ID

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

Related Items (35)

Note on some representations of general solutions to homogeneous linear difference equations ⋮ Two-dimensional product-type system of difference equations solvable in closed form ⋮ Solvability of boundary value problems for a class of partial difference equations on the combinatorial domain ⋮ Solvability of a class of product-type systems of difference equations ⋮ Solvable product-type system of difference equations with two dependent variables ⋮ 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 ⋮ Sixteen practically solvable systems of difference equations ⋮ Solvability of a one-parameter class of nonlinear second-order difference equations by invariants ⋮ Eventual periodicity of the fuzzy max-difference equation \(x_n = \max \{C, \frac{x_{n-m-k}}{x_{n-m}}\}\) ⋮ General \(k\)-dimensional solvable systems of difference equations ⋮ On a nonlinear second-order difference equation ⋮ Note on constructing a family of solvable sine-type difference equations ⋮ Solvability of a product-type system of difference equations with six parameters ⋮ On integer parts of the reciprocal remainders of some sums ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-15}}{\pm 1\pm x_{n-3}x_{n-7}x_{n-11}x_{n-15}}\) ⋮ Unnamed Item ⋮ On a class of recursive relations for calculating square roots of numbers ⋮ General solution to a higher-order linear difference equation and existence of bounded solutions ⋮ On the solutions of a max-type system of difference equations with period-two parameters ⋮ 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 ⋮ Representations of general solutions to some classes of nonlinear difference equations ⋮ Unnamed Item ⋮ A four-dimensional solvable system of difference equations in the complex domain ⋮ Dynamical behavior of rational difference equation \(x_{n+1}=\frac{x_{n-17}}{\pm 1 \pm x_{n-2} x_{n-5} x_{n-8} x_{n-11} x_{n-14} x_{n-17}}\) ⋮ Solvability of the class of two-dimensional product-type systems of difference equations of delay-type \((1,3,1,1)\) ⋮ Bounded solutions to nonhomogeneous linear second-order difference equations ⋮ Solvable three-dimensional product-type system of difference equations with multipliers ⋮ Stability of the non-hyperbolic zero equilibrium of two close-to-symmetric systems of difference equations with exponential terms ⋮ 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

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