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http://dx.doi.org/10.14317/jami.2014.843

GLOBAL DYNAMICS OF A NON-AUTONOMOUS RATIONAL DIFFERENCE EQUATION  

Ocalan, Ozkan (Afyon Kocatepe University, Faculty of Science and Arts, Department of Mathematics, ANS Campus)
Publication Information
Journal of applied mathematics & informatics / v.32, no.5_6, 2014 , pp. 843-848 More about this Journal
Abstract
In this paper, we investigate the boundedness character, the periodic character and the global behavior of positive solutions of the difference equation $$x_{n+1}=p_n+\frac{x_n}{x_{n-1}},\;n=0,1,{\cdots}$$ where $\{p_n\}$ is a two periodic sequence of nonnegative real numbers and the initial conditions $x_{-1}$, $x_0$ are arbitrary positive real numbers.
Keywords
Boundedness character; dynamics; periodic solution; global stability;
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