On a three dimensional nonautonomous system of difference equations

DOI10.1007/s12190-021-01693-9zbMath1504.39023OpenAlexW4206583760MaRDI QIDQ2103111

Hamida Hamioud, Nouressadat Touafek, Yasin Yazlik, Imane Dekkar

Publication date: 13 December 2022

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

Full work available at URL: https://doi.org/10.1007/s12190-021-01693-9

zbMATH Keywords

rate of convergenceperiodicityglobal asymptotic stabilityrational system of difference equations

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Cites Work

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• New method to obtain periodic solutions of period two and three of a rational difference equation
• Global stability of a third-order nonlinear system of difference equations with period-two coefficients
• On the behavior of positive solutions of the system of rational difference equations \(x_{n+1}=\frac{x_{n-1}}{y_nx_{n-1}+1}\), \(y_{n+1}=\frac{y_{n-1}}{x_ny_{n-1}+1}\)
• Dynamics of a higher order rational difference equation
• On a general system of difference equations defined by homogeneous functions
• On a general homogeneous three-dimensional system of difference equations
• On the behavior of the solutions of an abstract system of difference equations
• On the global dynamics of a rational difference equation with periodic coefficients
• Global behavior of a three-dimensional linear fractional system of difference equations
• The global asymptotic stability of a system of difference equations
• Solutions formulas for some general systems of difference equations
• On a solvable system of difference equations of higher-order with period two coefficients
• Dynamic behavior of a second-order nonlinearrational difference equation
• Global asymptotic stability of a second order rational difference equation

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