Extending and generalizing the results of rational equations, Dynamics of Third Order
Rational Difference Equations with Open Problems and Conjectures focuses on the …

On boundedness of the difference equation xn+1=pn+xn-3s+1xn-s+1 with period-k coefficients -
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This paper studies the boundedness, global asymptotic stability, and periodicity of positive
solutions of the equation xn= f (xn− 2)/g (xn− 1), n∈ ℕ 0, where f, g∈ C [(0,∞),(0,∞)]. It is …

We introduce a recursive sequence with a piecewise de ned function as the right hand side.
This function is discontinuous and includes nonlinear terms, ie one branch of this function …

We study the boundedness of the difference equation, where and the initial values. We show
that the solution of this equation converges to if or for all; otherwise is unbounded. Besides …

In this paper, we study the following difference equation: xn 1 pxn qxn− 1 1 xn, n 0, 1,..., 1.1
where p, q∈ 0,∞ with q> 1 p and the initial values x− 1, x0∈ 0,∞. The global behavior of …

This paper studies the behavior of positive solutions of the recursive equation yn= yn− m+
yn− m− k yn− k, n= 0, 1, 2,..., with y− s, y− s+ 1,..., y− 1∈(0,∞) and k, m∈{1, 2, 3, 4,...}, where …

This paper studies the behavior of positive solutions of the recursive equation yn= yn− m+
yn− m− k yn− k, n= 0, 1, 2,..., with y− s, y− s+ 1,..., y− 1∈(0,∞) and k, m∈{1, 2, 3, 4,...}, where …