On a class of higher-order difference equations (Q603441)

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scientific article; zbMATH DE number 5813349

Language	Label	Description	Also known as
English	On a class of higher-order difference equations	scientific article; zbMATH DE number 5813349

Statements

scholarly article

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On a class of higher-order difference equations (English)

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Chaos, Solitons and Fractals

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publication date

7 November 2010

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MaRDI profile type

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full work available at URL

https://doi.org/10.1016/j.chaos.2008.11.012

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

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Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\)

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The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$

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The global attractivity of the rational difference equation 𝑦_{𝑛}=𝐴+(\frac{𝑦_{𝑛-𝑘}}𝑦_{𝑛-𝑚})^{𝑝}

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A note on the difference equation

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A note on positive non-oscillatory solutions of the difference equation

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The behaviour of the positive solutions of the difference equation

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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

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On Impulsive Beverton-Holt Difference Equations and their Applications

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Sufficient conditions for the global stability of nonautonomous higher order difference equations

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On the asymptotics of nonlinear difference equations

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Inclusion Theorems for Non-linear Difference Equations with Applications

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On the asymptotics of the difference equation

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On the Recursive Sequence<i>x</i><sup><i>n</i>+1</sup>=

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Global behavior of an economic model

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On the behavior of some extension forms of some population models

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On asymptotic behaviour of the difference equation \(x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}\).

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On the Behavior of Solutions of<i>x</i><sub><i>n</i>+1</sub>=<i>p</i>+(<i>x</i><sub><i>n</i>−1</sub>/<i>x<sub>n</sub></i>)

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On the behaviour of the solutions of a second-order difference equation

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A global convergence result for a higher order difference equation

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Dynamics of a class of higher order difference equations

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Asymptotic 2–periodic difference equations with diagonally self–invertible responses

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Stability and periodic character of a rational third order difference equation

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On stability results for a new approximating fixed points iteration process

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Asymptotic behavior of a sequence defined by iteration with applications

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A global convergence result with applications to periodic solutions

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Asymptotic behavior of a nonlinear difference equation

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On the recursive sequence \(x_{n+1}=\frac{A}{\prod^ k_{i=0}x_{n-i}}+\frac{1}{\prod^{2(k+1)}_{j=k+2}x_{n-j}}\).

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Short Note: A Note on Periodic Character of a Difference Equation

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On the recursive sequence \(x_{n+1}=\alpha+\frac{x^p_{n-1}}{x_n^p}\)

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On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-k}}{f(x_n,\dots,x_{n-k+1})}\)

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Asymptotic behavior of a class of nonlinear difference equations

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On positive solutions of a (\(k+1\))th order difference equation

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Asymptotics of some classes of higher-order difference equations

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On the recursive sequence \(x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}\)

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On the recursive sequence \(x_{n}=1+\sum _{i=1}^{k}\alpha_i x_{n - p_{i}}/\sum _{j=1}^{m} \beta _{j}x_{n - q_j}\)

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Boundedness character of a fourth order nonlinear difference equation

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On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\)

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On the asymptotic behavior of a difference equation with maximum

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.CHAOS.2008.11.012

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Sitelinks

Mathematics(1 entry)

mardi Publication:603441

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