One of the first papers on this subject was that of Mackey and Glass. Recently, there has been interest in so-called dynamical diseases, which correspond to physiological disorders for which a generally stable control system becomes unstable. Karatas, On the positive solutions of the difference equation system $x_ $ levels, a simple epidemics model and a model of waves of disease that can be analyzed by difference equations are shown in. Holt, On the Dynamics of Exploited Fish Populations, 19, Fish Invest., London, 1957.Ĭ. Yalçınkaya, The dynamics of the difference equation, ARS Combinatoria, 2010, 97, 281-288. El-Moneam, On the Solutions of a System of Third-Order Rational Difference Equations, Discrete Dynamics in Nature and Society, 2018, 2018, Article ID 1743540, 11 pages. ![]() ![]() Abo-Zeid, Forbidden sets and stability in some rational difference equations, Journal of Difference Equations and Applications, 2018, 24(2), 220-239. It is the author's responsibility to bring an infringement action if so desired by the author.R. The journal/publisher is not responsible for subsequent uses of the work.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 (See The Effect of Open Access).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 retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Attribution-NonCommercial 4.0 International that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.The authors ensure that all the references carefully and they are accurate in the text as well as in the list of references (and vice versa).The authors warrant that the paper is original and that he/she is the author of the paper, except for material that is clearly identified as to its original source, with permission notices from the copyright owners where required.It is also the authors responsibility to ensure that the articles emanating from a particular source are submitted with the necessary approval.Papers must be submitted on the understanding that they have not been published elsewhere (except in the form of an abstract or as part of a published lecture, review, or thesis) and are not currently under consideration by another journal published by any other publisher.6.1 We may write the general, causal, LTI difference equation as follows: (6. International Conference on Mathematics and Statistics, American University of Sharjah, UAE, 110 pp., Mart 18-21, The difference equation is a formula for computing an output sample at time based on past and present input samples and past output samples in the time domain. Uslu K., Taskara N., Hekimoglu O., "On the periodicity and stability conditions of a non-linear system", The First O., "On the non-linear difference equation and its solution", Far East Journal of Mathematical X_))", 14.th International Congress on Computational and ![]() ![]() T., Taskara N., Uslu K., "The periodicity of solutions of the rational difference equation T., "The periodicity and solutions of the rational difference equation with periodicĬoefficients", Computers & Mathematics with Applications, 62(4), 1807-1813, 2011. Kose H., Uslu K., Taskara N., "On the dynamics of solutions of non-linear recursive system", Communications in and Douraki M.J., Mathias R., "Study of a system of non-linear difference equations arising inĪ deterministic model for HIV infection", Applied Mathematics and Computation, 171, 1306-1330, 2005. Iricanin B., Stevic S., "Some systems of non-linear difference equations of higher order with periodic solutions",ĭynamic of Continuous, Discrete and Impulse Sysetems, Series A Mathematical Analysis, vol.13, 499-507, 2006. 5, 2004.Ĭlark D., Kulenovic M.R.S., "A coupled system of rational difference equations", Computers and Mathematics with Applications, 43, 849-867, 2002. Cinar C., Yalcinkaya I., "On the positive solutions of difference equation system x_(n+1)=1/z_n ,y_(n+1)=1/(x_(n-1) y_(n-1) ), z_(n+1)=1/x_(n-1), International Mathematical Journal, vol.
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