Lyness-type equations in the third quardrant

DOI10.1016/S0362-546X(96)00260-XzbMath0893.39004OpenAlexW2149743780WikidataQ128109421 ScholiaQ128109421MaRDI QIDQ4374956

Jeffrey Feuer, Gerasimos E. Ladas, E. J. Janowski

Publication date: 26 January 1998

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(96)00260-x

zbMATH Keywords

behavior of solutionsLyness-type equation

Mathematics Subject Classification ID

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

Related Items (11)

INVARIANT CURVES OF THE GENERALIZED LYNESS EQUATIONS ⋮ The dynamics of some discrete models with delay under the effect of constant yield harvesting ⋮ Attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)F(x_{n-1},\dots,x_{n-k})\). ⋮ On the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n-k})/g(x_n,x_{n-1},\dots,x_{n-k+1})\) ⋮ 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. ⋮ Dynamics of a rational difference equation ⋮ Global behavior of a higher order nonlinear difference equation ⋮ Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\) ⋮ Global attractivity of the difference equation \(x_{n+1}=\alpha+(x_{n-k}/x_{n})\)

Cites Work

• On rational recursive sequences
• Open problems and conjectures
• Periodicities of solutions of the generalized lyness recursion
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