The study of a class of rational difference equations

DOI10.1016/j.amc.2005.11.083zbMath1105.39012OpenAlexW2033562779MaRDI QIDQ2506327

Mehdi Dehghan, Reza Mazrooei-Sebdani

Publication date: 28 September 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2005.11.083

zbMATH Keywords

periodic solutionsboundednessglobal asymptotic stabilitylocal asymptotic stabilityasymptotic convergencesemicycle behavior

Mathematics Subject Classification ID

Related Items (3)

Dynamics and Bifurcation of A second Order Rational Difference Equation with Quadratic Terms ⋮ Dynamics of Kth Order Rational Difference Equation ⋮ Dynamics of a rational difference equation

Cites Work

• Bounds for solutions of a six-point partial-difference scheme
• Global behavior of \(y_{n+1}=\frac{p+y_{n-k}}{qy_n+y_{n-k}}\).
• Study of a system of non-linear difference equations arising in a deterministic model for HIV infection
• Dynamics of a rational difference equation using both theoretical and computational approaches
• Global asymptotic stability of a second-order nonlinear difference equation
• On the recursive sequence \(x_{n+1} = \frac {\alpha+\beta x_{n-k+1} +\gamma x_{n-2k+1}}{Bx_{n-k+1} + Cx_{n-2k+1}}\)
• Calculation of oscillatory properties of the solutions of two coupled, first order non-linear ordinary differential equations
• Oscillations and global attractivity in a discrete delay logistic model
• Global Attractivity in Nonlinear Delay Difference Equations
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