Homogeneous rational difference equations of degree 1: convergence, monotone and oscillatory solutions for second- and third-order cases

DOI10.1080/10236198.2011.606177zbMath1261.39014OpenAlexW2003474303MaRDI QIDQ4899091

Reza Mazrooei-Sebdani

Publication date: 4 January 2013

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2011.606177

zbMATH Keywords

convergenceoscillationpositive solutionsperiodic solutionmonotone solutionhomogeneous difference equationrational difference eqation

Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Oscillation theory for difference equations (39A21)

Related Items (2)

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

Cites Work

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• A coupled system of rational difference equations
• Global asymptotic behavior of a two-dimensional difference equation modelling competition
• Semiconjugates of One-dimensional Maps
• A note: all homogeneous second order difference equations of degree one have semiconjugate factorizations
• Monotone and oscillatory solutions of a rational difference equation containing quadratic terms
• A note: Every homogeneous difference equation of degree one admits a reduction in order
• Dynamics of rational difference equations containing quadratic terms

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