On fourteen solvable systems of difference equations

DOI10.1016/j.amc.2014.02.001zbMath1334.39002OpenAlexW1970174746MaRDI QIDQ272610

Yasin Yazlik, Necati Taškara, Durhasan Turgut Tollu

Publication date: 20 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.2014.02.001

zbMATH Keywords

general solutionFibonacci numbersRiccati difference equationsystem of difference equations

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) General theory of difference equations (39A05)

Related Items (38)

Unnamed Item ⋮ Solvability of a \((k+l)\)-order nonlinear difference equation ⋮ General solutions to systems of difference equations and some of their representations ⋮ Global behavior of a three-dimensional system of difference equations of order three ⋮ On a solvable system of \(p\) difference equations of higher order ⋮ On a solvable system of difference equations of higher-order with period two coefficients ⋮ On a solvable system of difference equations in terms of generalized Fibonacci numbers ⋮ Convergence of solutions of a system of recurrence equations ⋮ Note on a rational system of \((4k+4)\)-order difference equations: periodic solution and convergence ⋮ Higher-order system of p-nonlinear difference equations solvable in closed-form with variable coefficients ⋮ Dynamical behavior of a system of three-dimensional nonlinear difference equations ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On a system of \(k\)-difference equations of order three ⋮ On a close to symmetric system of difference equations of second order ⋮ On the solutions of a system of third-order rational difference equations ⋮ Dynamics and solutions of a fifth-order nonlinear difference equation ⋮ Unnamed Item ⋮ Periodic solutions of a system of nonlinear difference equations with periodic coefficients ⋮ Investigating dynamical behaviors of the difference equation \(x_{n+1}= \frac{Cx_{n-5}}{A+Bx_{n-2}x_{n-5}}\) ⋮ On the system of difference equations \(x_n = \frac{x_{n - 1} y_{n - 2}}{a y_{n - 2} + b y_{n - 1}}\), \(y_n = \frac{y_{n - 1} x_{n - 2}}{c x_{n - 2} + d x_{n - 1}}\) ⋮ Solvability of a system of higher order nonlinear difference equations ⋮ Forbidden Set of the Rational Difference Equation $x_{n+1} = x_n x_{n-k}/(ax_{n-k+1} +x_n x_{n-k+1} x_{n-k})$ ⋮ On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences ⋮ On a solvable nonlinear difference equation of higher order ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solvability of a nonlinear three-dimensional system of difference equations with constant coefficients ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Solvability of a system of nonlinear difference equations of higher order ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Periodic and asymptotic behavior of a difference equation ⋮ Well-defined solutions of the difference equation xn = xn−3kxn−4kxn−5k xn−kxn−2k(±1±xn−3kxn−4kxn−5k) ⋮ Unnamed Item ⋮ On a solvable three-dimensional system of difference equations ⋮ On a product-type system of difference equations of second order solvable in closed form

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\)
• On some solvable systems of difference equations
• On a system of difference equations with period two coefficients
• On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
• On a third-order system of difference equations
• On a third-order system of difference equations with variable coefficients
• Solutions of a max-type system of difference equations
• On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\)
• On some systems of difference equations
• The periodicity and solutions of the rational difference equation with periodic coefficients
• On the fuzzy difference equation \(x_{n+1} = A+B/x_n\)
• On the solutions of two special types of Riccati difference equation via Fibonacci numbers
• On a solvable rational system of difference equations
• On a solvable system of difference equations of \(k\)th order
• Global behaviour of a second-order nonlinear difference equation
• On a system of difference equations

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