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Boundedness character of positive solutions of a higher order difference equation - MaRDI portal

Boundedness character of positive solutions of a higher order difference equation (Q5747688)

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scientific article; zbMATH DE number 5785379

Language	Label	Description	Also known as
English	Boundedness character of positive solutions of a higher order difference equation	scientific article; zbMATH DE number 5785379

Statements

scholarly article

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Boundedness character of positive solutions of a higher order difference equation (English)

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Kenneth S. Berenhaut

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International Journal of Computer Mathematics

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publication date

14 September 2010

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zbMATH Keywords

rational difference equation

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boundedness

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positive solutions

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1080/00207160802283039

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On the boundedness character of rational equations, part 2

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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 the rational recursive sequence \(y_n = A + \frac{y_{n-1}}{y_{n-m}}\) for smalla

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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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Inclusion Theorems for Non-linear Difference Equations with Applications

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

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

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On a difference equation with min-max response

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

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Boundedness character of a class of difference equations

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Identifiers

zbMATH Open document ID

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10.1080/00207160802283039

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5747688

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