Patterns of boundedness of the rational systemxn+1=α1/ (A1+B1xn+C1yn) andyn+1= (α

DOI10.1080/10236198.2010.515591zbMath1242.39022OpenAlexW2032833117MaRDI QIDQ3225489

Elias Camouzis, Emmanouil Drymonis, Wirot Tikjha, Gerasimos E. Ladas

Publication date: 21 March 2012

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

Full work available at URL: https://doi.org/10.1080/10236198.2010.515591

zbMATH Keywords

system of rational difference equationsnon-negative solutionsBoundedness

Mathematics Subject Classification ID

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

Related Items (2)

The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations ⋮ Dynamics and behaviors of a third-order system of difference equation

Cites Work

• Periodic solutions to nonautonomous difference equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• A coupled system of rational difference equations
• Patterns of boundedness of a rational system in the plane
• Global results on rational systems in the plane, part 1
• Rational systems in the planeEdited by Gerry LadasIn this section, we present some open problems and conjectures about some interesting types of difference equations. Please submit your problems and conjectures with all relevant information to G. Ladas: gladas@math.uri.edu
• On the asymptotic behavior of a rational system of difference equations
• On the Dynamics of
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• Monotone maps: a review
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