Properties of a certain Lyness equation

DOI10.1006/jmaa.1997.5812zbMath0896.39003OpenAlexW2043533091MaRDI QIDQ1381597

S. Darwen, William T. Patula

Publication date: 4 May 1998

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5812

zbMATH Keywords

oscillationextreme valuescycle lengthsemicycleLyness difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items

Global attractivity in the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n})/(\gamma-x_{n-1})\) ⋮ Global attractivity in a rational recursive sequence. ⋮ Global attractivity for a class of higher order nonlinear difference equations. ⋮ Global Behavior of the Solutions of Lyness' Difference Equation ⋮ Dynamics of a rational difference equation ⋮ Some invariants for \(k\)th-order Lyness equation. ⋮ Global attractivity of the difference equation \(x_{n+1}=\alpha+(x_{n-k}/x_{n})\)

Cites Work

• A difference equation with eventually periodic solutions
• On rational recursive sequences
• Unnamed Item