On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-1}}{1+g(x_n)}\)

zbMath1019.39011MaRDI QIDQ1860732

Stevo Stević

Publication date: 24 September 2003

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

oscillationglobal stabilityperiodic solutionrecurrence relationpositive solutionattractorbounded solutiondifference equationpositive equilibriumsemicycle

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05)

Related Items (11)

Higher order difference equations with homogeneous governing functions nonincreasing in each variable with unbounded solutions ⋮ On the system of two difference equations of exponential form: \(x_{n+1}=a+bx_{n-1}e^{-y_n}\), \(y_{n+1}=c+dy_{n-1}e^{-x_n}\). ⋮ The behavior of positive solutions of a nonlinear second-order difference equation ⋮ Asymptotically polynomial solutions to difference equations of neutral type ⋮ On the difference equation \(x_{n+1}=\frac{a+bx_{n-k}^{cx_n-m}}{1+g(x_{n-1})}\) ⋮ On the recursive sequence \(x_{n+1}=\frac{x+bx_n}{A+Bx^k_{n-1}}\) ⋮ Periodicity and attractivity of a nonlinear higher order difference equation ⋮ On positive solutions of a reciprocal difference equation with minimum ⋮ On a max-type difference equation ⋮ On the recursive sequence \(x_{n+1}=\frac{a x^p_{n-2m+1}}{b+cx_{n-2k}^{p-1}}\) ⋮ Global behavior of \(x_{n + 1} = (\alpha + \beta x_{n - k}) /(\gamma + x_n)\)

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