Convergence in homogeneous difference equations of degree 1

DOI10.1080/10236198.2011.611508zbMath1278.39002OpenAlexW1996793205MaRDI QIDQ4908667

Reza Mazrooei-Sebdani

Publication date: 6 March 2013

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

Full work available at URL: https://doi.org/10.1080/10236198.2011.611508

zbMATH Keywords

additiveconvergenceoscillatory solutionmultiplicativemonotonichomogeneous difference equationsnon-monotonicperiod-2reduction in order

Mathematics Subject Classification ID

Additive difference equations (39A10) Periodic solutions of difference equations (39A23) Oscillation theory for difference equations (39A21)

Related Items (3)

Local dynamics and global stability of certain second-order rational difference equation with quadratic terms ⋮ 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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• Semiconjugates of One-dimensional Maps
• Regarding the Equation x n +1 = cx n + f ( x n − x n −1 )
• 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
• Global Stability and Boundedness in
• Dynamics of rational difference equations containing quadratic terms
• A global convergence result with applications to periodic solutions

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