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http://dx.doi.org/10.14317/jami.2020.001

BEHAVIOR OF SOLUTIONS OF A RATIONAL THIRD ORDER DIFFERENCE EQUATION  

ABO-ZEID, R. (Department of Basic Science, The Higher Institute for Engineering & Technology)
Publication Information
Journal of applied mathematics & informatics / v.38, no.1_2, 2020 , pp. 1-12 More about this Journal
Abstract
In this paper, we solve the difference equation $x_{n+1}={\frac{x_nx_{n-2}}{ax_n-bx_{n-2}}}$, n = 0, 1, …, where a and b are positive real numbers and the initial values x-2, x-1 and x0 are real numbers. We also find invariant sets and discuss the global behavior of the solutions of aforementioned equation.
Keywords
difference equation; forbidden set; convergence; unbounded solution;
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