On the global dynamics of a rational difference equation with periodic coefficients

DOI10.1007/s12190-018-01227-wzbMath1417.39057OpenAlexW2902699163WikidataQ128874452 ScholiaQ128874452MaRDI QIDQ2318329

Nouressadat Touafek, Imane Dekkar, Qamar Din

Publication date: 14 August 2019

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-018-01227-w

zbMATH Keywords

boundednessglobal attractivityuniform asymptotic stabilitynonautonomous difference equation

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

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Unnamed Item, Unnamed Item, Qualitative behavior of a higher-order nonautonomous rational difference equation, On a general system of difference equations defined by homogeneous functions, On a three dimensional nonautonomous system of difference equations

Cites Work

• Global asymptotic behavior of a rational difference equation
• Global stability of a third-order nonlinear system of difference equations with period-two coefficients
• On the recursive sequence \(x_{n+1}=\frac{x+bx_n}{A+Bx^k_{n-1}}\)
• Asymptotic behavior of equilibrium point for a family of rational difference equations
• Global asymptotic stability of equilibrium point for a family of rational difference equations
• Modelling of compressive behaviour of concrete-like materials at high strain rate
• Asymptotic stability for a class of nonlinear difference equations
• Well-defined solutions of a system of difference equations
• Global attractivity of periodic solutions in a higher order difference equation
• Global asymptotic stability of a second-order system of difference equations
• On rational recursive sequences
• Periodicity and analytic solution of a recursive sequence with numerical examples
• The global asymptotic stability of a system of difference equations
• Existence and global attractivity of periodic solutions in a max-type system of difference equations
• Solution form of a higher‐order system of difference equations and dynamical behavior of its special case
• Global asymptotic stability of a second order rational difference equation
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