Global asymptotic stability of the higher order equation $$x_{n+1} = \frac{ ax_{n}+bx_{n-k}}{A+Bx_{n-k}}$$ x n + 1 = a x n + b x n - k A + B x n - k
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/s12190-016-1029-4/fulltext.html
Reference14 articles.
1. Abu-Saris, R., DeVault, R.: Global stability of $$y_{n+1}=A+\frac{y_n}{y_{n-k}}$$ y n + 1 = A + y n y n - k . Appl. Math. Lett. 16, 173–178 (2003)
2. Amleh, A., Grove, E., Ladas, G., Georgiou, G.: On the recursive sequence $$x_{n+1}=\alpha +\frac{x_{n-1}}{x_{n}}$$ x n + 1 = α + x n - 1 x n . J. Math. Anal. Appl. 533, 790–798 (1999)
3. Dannan, F.: The Asymptotic Stability of $$x_ { n + k }+ ax_ { n }+ bx_ { n -l}=0$$ x n + k + a x n + b x n - l = 0 . J. Differ. Equ. Appl. 10, 589–599 (2004)
4. DeVault, R., Schultz, S.W., Ladas, G.: On the recursive sequence $$x_{n+1}=\frac{A}{x_{n}}+\frac{1}{x_{n-2}}$$ x n + 1 = A x n + 1 x n - 2 . Proc. Am. Math. Soc. 126, 3257–3261 (1998)
5. Yan, Xing-Xue, Li, Wan-Tong, Zhao, Zhu: Global asymptotic stability for a higher order nonlinear rational differnce equations. Appl. Math. Comput. 182, 1819–1831 (2006)
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