Boundedness of solutions of \(x_{n+1} = \frac{a_n' + b_n' y_n}{C_n'x_n}\) and \(y_{n+1} = \frac{a_n+b_nx_n + c_n y_n}{A_n+B_nx_n + C_ny_n}\) with non-constant coefficients

DOI10.1007/978-3-031-51049-6_3MaRDI QIDQ6616677

R. Patrick Vernon, Zachary A. Kudlak

Publication date: 9 October 2024

zbMATH Keywords

recurrence relationsrational difference equationsboundedness characterrecursive sequences

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22)

Cites Work

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• Unbounded rational systems with nonconstant coefficients
• On the boundedness character of rational systems in the plane
• Patterns of boundedness of a rational system in the plane
• On the global character of solutions of the system:
• Patterns of boundedness of the rational systemx_n+1=α₁/ (A₁+B₁x_n+C₁y_n) andy_n+1= (α₂+β₂x_n+γ₂y_n) / (A₂+B₂x_n+C₂y_n)
• On the Boundedness Character of a Rational System of Difference Equations with Non-constant Coefficients
• When does periodicity destroy boundedness in rational 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

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