The solutions of the perodic rational recursive systems
DOI:
https://doi.org/10.26713/cma.v7i2.375Keywords:
Periodic discrete system, Non-linear discrete systemAbstract
In this study, we obtain the solutions of some perodic rational difference equation systems. Then we examinate the period of solutions of these systems.Downloads
References
C. Cinar and I. Yalcinkaya, On the positive solutions of difference equation system (x_{n+1}=frac{1}{z_{n}}), (y_{n+1}=frac{1}{x_{n-1}y_{n-1}}), (z_{n+1}=frac{1}{x_{n-1}}), International Mathematical Journal 5 (2004), 525–527.
D. Clark and M.R.S. Kulenovic, A coupled system of rational difference equations, Computers and Mathematics with Applications 43 (2002), 849–867.
B. Iricanin and S. Stevic, Some systems of non-linear difference equations of higher order with periodic solutions, Dynamic of Continuous, Discrete and Impulse Systems, Series A Mathematical Analysis 13 (2006), 499–507.
G. Kılıklı, On the solutions of a system of the rational difference equations, M.S. Thesis, The Graduate School of Natural and Applied Science of Selcuk University (2011).
V.L. Kocic and G. Ladas, Global Behavior of Nonlinear Difference Equations of Higher Order with Applications, Kluwer Academic Publishers, Dordrecht (1993).
G. Ladas, Open problems and conjectures, Journal of Difference Equations Applications 4 (1) (1998), 93–94.
M. Nasri, M. Dehghan, M.J. Douraki and R. Mathias, Study of a system of non-linear difference equations arising in a deterministic model for HIV infection, Applied Mathematics and Computation 171 (2005), 1306–1330.
K. Uslu and E. Kilic, On the solutions and periods of non-linear recursive systems, Asian Journal of Applied Sciences 4 (1) (2016), 95–102.
K. Uslu, N. Taskara and O. Hekimoglu, On the periodicity and stability conditions of a non-linear system, The First International Conference on Mathematics and Statistics, American University of Sharjah, UAE, 110 p., March 18-21, 2010.
L. Xianyi and Z. Deming, Two rational recursive sequences, Computers & Mathematics with Applications 47 (2004), 1487–1494.
Downloads
Published
How to Cite
Issue
Section
License
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a CCAL that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.