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ON THE ASYMPTOTICALLY PERIODIC SOLUTIONS OF A FIFTH ORDER DIFFERENCE EQUATION
(Univ Prishtines, 2019)
In this paper we investigate the stability of solutions of difference equation x(n+1) = x(n-1)x(n-4) - 1. We also study periodic solutions of related difference equation especially asymptotic periodicity.
On the global asymptotic stability of a system of difference equations with quadratic terms
(Springer Heidelberg, 2021)
In this paper, we study the global asymptotic stability of following system of difference equations with quadratic terms: x(n+1) = A + B y(n)/y(n-1)(2), y(n+1) = A + B x(n)/x(n-1)(2) where A and B are positive numbers and ...
Global dynamics of a higher order difference equation with a quadratic term
(Springer Heidelberg, 2021)
In this paper, we investigate the dynamics of the following higher order difference equation x(n+1) = A + B x(n)/x(n-m)(2) with A, B and initial conditions are positive numbers, and m is an element of {2, 3, ...}. Especially ...