Dynamics of difference equation x n + 1 = f ( x n − l , x n − k ) $x_{n+1}=f( x_{n-l},x_{n-k})$
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13662-018-1896-0.pdf
Reference36 articles.
1. Abdelrahman, M.A.E., Chatzarakis, G.E., Li, T., Moaaz, O.: On the difference equation x n + 1 = a x n − l + b x n − k + f ( x n − l , x n − k ) $x_{n+1}=ax_{n-l}+bx_{n-k}+f( x_{n-l},x_{n-k}) $ . Adv. Differ. Equ. (2018). https://doi.org/10.1186/s13662-018-1880-8
2. Abu-Saris, R.M., DeVault, R.: Global stability of y n + 1 = A + y n / y n − k $y_{n+1}=A+y_{n}/y _{n-k}$ . Appl. Math. Lett. 16, 173–178 (2003)
3. Amleh, A.M., Grove, E.A., Georgiou, D.A., Ladas, G.: On the recursive sequence x n + 1 = α + x n − 1 / x n $x_{n+1}=\alpha +x_{n-1}/x_{n}$ . J. Math. Anal. Appl. 233, 790–798 (1999)
4. Berenhaut, K.S., Foley, J.D., Stevic, S.: The global attractivity of the rational difference equation y n = 1 + y n − k / y n − m $y_{n}=1+y_{n-k}/y_{n-m}$ . Proc. Am. Math. Soc. 135, 1133–1140 (2007)
5. Berenhaut, K.S., Stevic, S.: The behaviour of the positive solutions of the difference equation x n = A + ( x n − 2 / x n − 1 ) p $x_{n}=A+ ( x_{n-2}/x_{n-1} ) ^{p}$ . J. Differ. Equ. Appl. 12(9), 909–918 (2006)
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