Long-term behavior of solutions of the difference equation \(x_{n+1}=x_{n - 1}x_{n - 2} - 1\)
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Publication:624466
DOI10.1155/2010/152378zbMath1208.39022OpenAlexW1579695600WikidataQ58649759 ScholiaQ58649759MaRDI QIDQ624466
Stevo Stević, Candace M. Kent, Witold A. Kosmala
Publication date: 9 February 2011
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2010/152378
Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)
Related Items (7)
On the system of two difference equations of exponential form: \(x_{n+1}=a+bx_{n-1}e^{-y_n}\), \(y_{n+1}=c+dy_{n-1}e^{-x_n}\). ⋮ Long-term behavior of solutions of the difference equation \(x_{n+1}=x_{n - 1}x_{n - 2} - 1\) ⋮ Unbounded solutions of the difference equation \(x_{n} = x_{n-l}x_{n-k} - 1\) ⋮ Dynamics of a second-order system of nonlinear difference equations ⋮ Stability and Periodic Nature of a System of Difference Equations ⋮ On the difference equation \(x_{n+1}=x_nx_{n-2}-1\) ⋮ Part-metric and its applications to cyclic discrete dynamic systems
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