Global asymptotic stability of the higher order equation \(x_{n+1} = \frac{ax_{n}+bx_{n-k}}{A+Bx_{n-k}}\)

DOI10.1007/S12190-016-1029-4zbMath1378.39009OpenAlexW2464831044MaRDI QIDQ1677124

Peng Zhang

Publication date: 10 November 2017

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

Full work available at URL: https://doi.org/10.1007/s12190-016-1029-4

zbMATH Keywords

nonnegative solutionperiodic solutionglobal asymptotic stabilityequilibrium pointrational difference equationsemi-cycles

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

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 nonlinear difference equation \(x_{n+1}=\frac{\beta x_{n}+\gamma x_{n-k}}{A+Bx_{n}+C x_{n-k}}\)

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