Non-autonomous homogeneous rational difference equations of degree one: convergence and monotone solutions for second and third order case

DOI10.1002/mma.2810zbMath1286.39005OpenAlexW2121621255MaRDI QIDQ5406962

Reza Mazrooei-Sebdani

Publication date: 4 April 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2810

zbMATH Keywords

convergencepositive solutionreduction in ordernon-autonomous homogeneous rational difference equation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items

The characteristics of a higher-order rational difference equation ⋮ Global stability of \(y_{n+1} =\frac {p+qy_{n}+ry_{n-k}}{1+y_{n}}\) ⋮ Dynamics of \(x_{n+1}=\frac{x_{n-2k+1}}{x_{n-22k+1}+\alpha x_{n-2l}}\) ⋮ Dynamics of a three-dimensional systems of rational difference equations

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