Dynamics of non-autonomous difference equation
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Computational Mathematics
Link
http://link.springer.com/article/10.1007/s12190-016-1036-5/fulltext.html
Reference14 articles.
1. Amleh, A.M., Grove, E.A., Ladas, G., Georgiou, D.A.: On the recursive sequence $$x_{n+1}=a+\frac{x_{n-1}}{x_{n}}$$ x n + 1 = a + x n - 1 x n . J. Math. Anal. Appl. 233(2), 790–798 (1999)
2. Barehaut, K.S., Foley, J.D., Stevic, S.: The global attractivityof the rational differenceequation $$y_{n}=1+\frac{y_{n-k}}{y_{n-m}}$$ y n = 1 + y n - k y n - m . Proc. Am. Math. Soc. 135(4), 1133–1140 (2007)
3. Barehaut, K.S., Foley, J.D., Stevic, S.: The global attractivity of the rational difference equation $$y_{n}=1+(\frac{y_{n-k}}{y_{n-m}})^{p}$$ y n = 1 + ( y n - k y n - m ) p . Proc. Am. Math. Soc. 136(1), 103–110 (2008)
4. Barehaut, K.S., Stevic, S.: A note on positive nonoscillatory solutions of the difference equations $$x_{n+1}=\alpha +\frac{x_{n-k}^{p}}{x_{n}^{p}}$$ x n + 1 = α + x n - k p x n p . J. Differ. Equ. Appl. 12(5), 495–499 (2006)
5. Devault, R., Kocic, V., Stutson, D.: Global behavior of solutions of the nonlinear difference equation $$x_{n+1}=p_{n}+\frac{x_{n-1}}{x_{n}}$$ x n + 1 = p n + x n - 1 x n . J. Differ. Equ. Appl. 11(8), 707–719 (2005)
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