Periodic Character of a Class of Difference Equation

DOI10.1080/10236190410001682103zbMath1054.39009OpenAlexW2143302627MaRDI QIDQ4818304

Stevo Stević

Publication date: 28 September 2004

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

Full work available at URL: https://doi.org/10.1080/10236190410001682103

zbMATH Keywords

periodic solutionspositive solutionsdifference equationsasymptotic behaviourrecursive rational sequences

Mathematics Subject Classification ID

Related Items (12)

Dynamics and behaviors of a third-order system of difference equation ⋮ On a non-autonomouskth-order rational difference equation ⋮ On boundedness of the difference equation \(x_{n+1}=p_n+\frac{x_{n-3s+1}}{x_{n-s+1}}\) with period-\(k\) coefficients ⋮ Open Problems and Conjectures ⋮ On the Recursive Sequence ⋮ Asymptotic periodicity of a higher-order difference equation ⋮ Progress Report on Rational Difference Equations ⋮ Dynamics of a higher order nonlinear rational difference equation ⋮ On a max-type difference equation ⋮ On the recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\) ⋮ On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\) ⋮ On boundedness of solutions of the difference equation \(x_{n+1}=(px_n+qx_{n - 1})/(1+x_n)\) for \(q>1+p>1\)

Cites Work

• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On the recursive sequence \(x_{n+1}= -1/x_n+ A/x_{n-1}\)
• The recursive sequence \(x_{n+1} = g(x_{n},x_{n-1})/(A + x_{n})\)
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
• Three Trichotomy Conjectures
• A global convergence result with applications to periodic solutions

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