On the Recursive Sequence

DOI10.1080/10236190410001659732zbMath1068.39012OpenAlexW2103962065MaRDI QIDQ4656132

Stevo Stević, George L. Karakostas

Publication date: 8 March 2005

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

Full work available at URL: https://doi.org/10.1080/10236190410001659732

zbMATH Keywords

convergenceperiodic solutionspositive solutionnonoscillatory solutionrational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20)

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On the boundedness character of rational equations, part 3 ⋮ Open Problems and Conjectures ⋮ On global attractivity of a class of nonautonomous difference equations ⋮ On a higher-order difference equation ⋮ A trichotomy result for non-autonomous rational difference equations ⋮ Global asymptotic stability of a second order rational difference equation ⋮ Open Problems and Conjectures ⋮ Global stability of some classes of higher-order nonlinear difference equations ⋮ On second-order rational difference equations, part 1 ⋮ On second-order rational difference equations, Part 2 ⋮ On third-order rational difference equations, part 1 ⋮ On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\) ⋮ Existence of monotone solutions of a difference equation ⋮ On periodic trichotomies ⋮ On the boundedness character of rational equations, part 2

Cites Work

• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• The recursive sequence \(x_{n+1} = g(x_{n},x_{n-1})/(A + x_{n})\)
• Open problems and conjectures
• Asymptotic 2–periodic difference equations with diagonally self–invertible responses
• On the Trichotomy Character of x n +1 =(α+β x n +γ x n −1 )/( A + x n )
• Periodic Character of a Class of Difference Equation
• A global convergence result with applications to periodic solutions