Unconditional convergence of difference equations

DOI10.1186/1687-2770-2013-63zbMath1286.39007OpenAlexW2103668940WikidataQ59293309 ScholiaQ59293309MaRDI QIDQ2444601

Juan Perán, Daniel Franco Leis

Publication date: 10 April 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-63

zbMATH Keywords

difference equationsattractorglobal asymptotic stabilityunconditional convergence

Mathematics Subject Classification ID

Additive difference equations (39A10) Stability theory for difference equations (39A30)

Related Items (1)

Global stability of an age-structured population model

Cites Work

• The dynamics of \(x_{n+1}= \frac {\alpha + \beta x_n}{A+Bx_n+Cx_{n-1}}\) facts and conjectures
• Globally attracting fixed points in higher order discrete population models
• Oscillation and asymptotic behaviour of a class of higher-order non-linear difference equations
• Global asymptotic stability of a second-order nonlinear difference equation
• Global attractivity of the equilibrium of a difference equation: An elementary proof assisted by computer algebra system
• The global attractivity of the rational difference equation $y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$
• Dynamics of a higher order nonlinear rational difference equation
• The global attractivity of the rational difference equation 𝑦_{𝑛}=𝐴+(\frac{𝑦_{𝑛-𝑘}}𝑦_{𝑛-𝑚})^{𝑝}
• Global attractivity of a higher order nonlinear difference equation

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