Boundedness character of two classes of third-order difference equations(1

DOI10.1080/10236190903022774zbMath1182.39012OpenAlexW2040076772MaRDI QIDQ3644280

Stevo Stević

Publication date: 3 November 2009

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

Full work available at URL: https://doi.org/10.1080/10236190903022774

zbMATH Keywords

boundednesspositive solutionrational difference equationmax-type

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (18)

Asymptotic behavior of solutions of a system of \(q\)-functional-difference equations ⋮ Long-term behavior of positive solutions of a system of max-type difference equations ⋮ On positive solutions of some classes of max-type systems of difference equations ⋮ Dynamics of a family of two-dimensional difference systems ⋮ The boundedness character of two Stević-type fourth-order difference equations ⋮ On a nonlinear generalized max-type difference equation ⋮ A survey on max-type difference equations ⋮ On the nonautonomous difference equation \(x_{n+1} = A_n + \frac{x^p_{n-1}}{x^q_n}\) ⋮ On a higher-order nonlinear difference equation ⋮ Global behavior of two families of nonlinear symmetric difference equations ⋮ On a symmetric system of max-type difference equations ⋮ Difference equations and nonexistence of solutions of an integral equation ⋮ On the difference equation \(x_{n+1}=x_nx_{n-2}-1\) ⋮ On the max-type difference equation \(x_{n+1}=\max\{A/x_n,x_{n - 3}\}\) ⋮ Global stability of some classes of higher-order nonlinear difference equations ⋮ Periodicity of a class of nonautonomous max-type difference equations ⋮ On solutions of a class of systems of nonlinear functional equations in a neighborhood of zero satisfying Lipschitz condition ⋮ Quantitative bounds for positive solutions of a Stević difference equation

Cites Work

• Unnamed Item
• The difference equation \(x_{n+1}=\alpha + \frac {x_{n-k}}{\Sigma_{i=0}^{k-1} c_{i}x_{n-i}}\) has solutions converging to zero
• On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\)
• Global stability of a difference equation with maximum
• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On asymptotic behaviour of the difference equation \(x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}\).
• On the recursive sequence \(x_{n+1}=\alpha-(x_n/x_{n-1})\)
• On positive solutions of a reciprocal difference equation with minimum
• The recursive sequence \(x_{n+1} = g(x_{n},x_{n-1})/(A + x_{n})\)
• On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\)
• On the recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\)
• On the recursive sequence \(x_{n+1}=\alpha + x_{n-1}/x_n\)
• A Note on the Difference Equation x n +1 = ∑ i =0 k α i x n − i p i
• The behaviour of the positive solutions of the difference equation
• Boundedness character of positive solutions of a max difference equation
• On a difference equation with periodic coefficients
• On the recursive sequence 𝑥_{𝑛+1}=\frac{𝐴}𝑥_{𝑛}+\frac{1}𝑥_{𝑛-2}
• On the Recursive Sequencexⁿ⁺¹=
• On the Behavior of Solutions ofx_n+1=p+(x_n−1/x_n)
• On the eventual periodicity of with a period-four parameter
• A note on positive non-oscillatory solutions of the difference equation
• When does local asymptotic stability imply global attractivity in rational equations?
• On a max-type difference equation

This page was built for publication: Boundedness character of two classes of third-order difference equations(1