On a nonlinear second-order difference equation

DOI10.1186/s13660-022-02822-zzbMath1506.39002OpenAlexW4283640359MaRDI QIDQ2157788

Stevo Stević, Zdeněk Šmarda, Bratislav D. Iričanin, Witold A. Kosmala

Publication date: 22 July 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-022-02822-z

zbMATH Keywords

equilibriumdifference equationclosed-form formulasolvable equation

Mathematics Subject Classification ID

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

Related Items (1)

On a class of difference equations with interlacing indices of the fourth order

Cites Work

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• On a product-type system of difference equations of second order solvable in closed form
• Qualitative behavior of difference equation of order two
• Global stability of a difference equation with maximum
• Convergence of a difference equation via the full limiting sequences method
• Invariants for some difference equations
• Invariants for difference equations and systems of difference equations of rational form
• Asymptotic behavior of a nonlinear difference equation
• On the recursive sequence \(x_{n+1}=\frac{A}{\prod^ k_{i=0}x_{n-i}}+\frac{1}{\prod^{2(k+1)}_{j=k+2}x_{n-j}}\).
• Convergence of solutions in a nonhyperbolic case.
• On some solvable difference equations and systems of difference equations
• Note on difference equations with the right-hand side function nonincreasing in each variable
• On the system of difference equations \(x_n=c_ny_{n-3}/(a_n+b_ny_{n-1}x_{n-2}y_{n-3})\),\(y_n=\gamma_nx_{n-3}/(\alpha_n+\beta_nx_{n-1}y_{n-2}x_{n-3})\)
• On a \(k\)-order system of Lyness-type difference equations
• Boundedness character of a class of difference equations
• The Fibonacci sequence modulo \(\pi\), chaos and some rational recursive equations
• On the asymptotics of the difference equation y _n (1 + y _n − 1 … y _{n − k + 1}) = y _n − k
• Global behaviour of a second-order nonlinear difference equation
• Inclusion Theorems for Non-linear Difference Equations with Applications
• Asymptotic 2–periodic difference equations with diagonally self–invertible responses
• Note on the bilinear difference equation with a delay
• On Impulsive Beverton-Holt Difference Equations and their Applications
• More on the Difference Equation y n + 1 = ( p + y n −1 )/( qy n + y n −1 )
• On the rational recursive sequence
• Mathematical analysis II. Transl. from the 4th Russian edition by Roger Cooke
• Invariants for systems of two nonlinear difference equations
• Invariants and oscillation for systems of two nonlinear difference equations
• A global convergence result with applications to periodic solutions

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