Quantitative bounds for positive solutions of a Stević difference equation

DOI10.1155/2010/235808zbMath1194.39010OpenAlexW2020436452WikidataQ58650762 ScholiaQ58650762MaRDI QIDQ980791

Wanping Liu, Xiaofan Yang

Publication date: 29 June 2010

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228683

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (6)

Dynamics of a family of two-dimensional difference systems ⋮ Global attractivity of a family of max-type difference equations ⋮ Periodicity of a second-order switched difference system over integers ⋮ On a class of nonautonomous max-type difference equations ⋮ Periodic solutions to a third-order conditional difference equation over the integers ⋮ Global behavior of \(x_{n + 1} = (\alpha + \beta x_{n - k}) /(\gamma + x_n)\)

Cites Work

• Unnamed Item
• Boundedness character of a fourth order nonlinear difference equation
• On a class of higher-order difference equations
• On the global behavior of the nonlinear difference equation \(x_{n+1}=f(p_{n},x_{n - m},x_{n - t(k+1)+1})\)
• On boundedness of the solutions of the difference equation \(x_{n+1}=x_{n-1}/(p+x_{n})\)
• On the recursive sequence \(x_{n+1} = \max \left\{ c, \frac {x_n^p}{x_{n-1}^p} \right\}\)
• On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\)
• Existence of monotone solutions of a difference equation
• On the recursive sequence \(x_{n+1} = \alpha + \frac{x_{n-1}}{x_n^k}\)
• On a class of third-order nonlinear difference equations
• Global behavior of the max-type difference equation \(x_{n+1}=\max\{1/x_{n},A_{n}/x_{n - 1}\}\)
• Global stability for a delay difference equation
• On boundedness of solutions of the difference equation \(x_{n+1}=(px_n+qx_{n - 1})/(1+x_n)\) for \(q>1+p>1\)
• On the recursive sequence \(x_n=A+x_{n-k}^p/x_{n-1}^r\)
• On the recursive sequence \(x_{n+1}=\alpha+x_{n-1}/x_n\)
• On asymptotic behaviour of the difference equation \(x_{n+1} = \alpha+\frac{x_{n-1}^p}{x_n^p}\).
• Global stability of \(y_{n+1}=A+\frac{y_n}{y_{n-k}}\)
• Quantitative bounds for the recursive sequence \(y_{n} + 1 = A + \frac {{y}_{n}}{{y}_{n-k}}\)
• The global attractivity of the rational difference equation \(y_n = \frac{y_{n-k}+y_{n-m}}{1+y_{n-k}y_{n-m}}\)
• On the recursive sequence \(x_{n+1}=A+x_{n}^{p}/x_{n-1}^{p}\)
• On the behaviour of the solutions of a second-order difference equation
• On the recursive sequence \(x_{n+1}=\frac{\alpha+\beta x_{n-k}}{f(x_n,\dots,x_{n-k+1})}\)
• Boundedness character of a class of difference equations
• On the nonlinear difference equation system \(x_{n+1}=A+y_{n - m}/x_n,y_{n+1}=A+x_{n - m}/y_n\)
• On a generalized max-type difference equation from automatic control theory
• The behaviour of the positive solutions of the difference equation
• Boundedness character of two classes of third-order difference equations(1
• On the Dynamics of with a Period-two Coefficient
• The global attractivity of the rational difference equation 𝑦_{𝑛}=𝐴+(\frac{𝑦_{𝑛-𝑘}}𝑦_{𝑛-𝑚})^{𝑝}
• A note on positive non-oscillatory solutions of the difference equation
• Global behavior of solutions of the nonlinear difference equation
• Global asymptotic stability of a family of difference equations

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