A note: all homogeneous second order difference equations of degree one have semiconjugate factorizations
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Publication:3445881
DOI10.1080/10236190601045853zbMath1119.39001OpenAlexW1996537430WikidataQ114099719 ScholiaQ114099719MaRDI QIDQ3445881
Publication date: 7 June 2007
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236190601045853
grouphomogeneoustriangular systemnon-autonomoussemiconjugate factorizationsecond order difference equation
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Small divisors problem in dynamical systems and analytic invariant curves for an iterative equation related to a rational difference equation ⋮ Open Problems and Conjectures ⋮ Monotone and oscillatory solutions of a rational difference equation containing quadratic terms ⋮ Homogeneous rational difference equations of degree 1: convergence, monotone and oscillatory solutions for second- and third-order cases ⋮ Convergence in homogeneous difference equations of degree 1 ⋮ Homogeneous rational systems of difference equations in the plane ⋮ Non-autonomous homogeneous rational difference equations of degree one: convergence and monotone solutions for second and third order case ⋮ Global behaviours of rational difference equations of orders two and three with quadratic terms ⋮ Analytic invariant curves for an iterative equation related to Ricker-type second-order equation ⋮ A note: Every homogeneous difference equation of degree one admits a reduction in order ⋮ Planar homogeneous systems of difference equations
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