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Attractivity of the recursive sequence \(x_{n + 1} = (A - B x_{n - 2}) /(C + D x_{n - 1})\)

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Publication:301270
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DOI10.1016/J.JOEMS.2015.08.004zbMath1342.39015OpenAlexW2191250244MaRDI QIDQ301270

F. Blanchet-Sadri, M. Dambrine

Publication date: 30 June 2016

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2015.08.004


zbMATH Keywords

basin of attractionattractivityrational difference equation


Mathematics Subject Classification ID

Multiplicative and other generalized difference equations (39A20) Stability theory for difference equations (39A30)





Cites Work

  • Unnamed Item
  • Unnamed Item
  • Attractivity of two nonlinear third-order difference equations
  • Global attractivity of the recursive sequence \(x_{n+1}=(\alpha-\beta x_{n-1})/(\gamma+x_{n})\)
  • Stability of the recursive sequence \(x_{n+1}=(\alpha-\beta x_n)/(\gamma+x_{n-1})\)




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