On the boundedness character of rational systems in the plane

DOI10.1080/10236198.2010.491513zbMath1243.39010OpenAlexW2055844372MaRDI QIDQ3103830

Frank J. Palladino, Gabriel Lugo

Publication date: 12 December 2011

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

Full work available at URL: https://doi.org/10.1080/10236198.2010.491513

zbMATH Keywords

rational difference equationsboundedness characterfirst order systems

Mathematics Subject Classification ID

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

Related Items (4)

The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations ⋮ Global asymptotic stability of a rational system ⋮ On the Boundedness Character of a Rational System of Difference Equations with Non-constant Coefficients ⋮ Planar homogeneous systems of difference equations

Cites Work

• Difference inequalities, comparison tests, and some consequences
• Global results on rational systems in the plane, part 1
• On the characterization of rational difference equations
• 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 periodic trichotomies
• On the boundedness character of rational equations, part 1

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