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

Hereditary systems (or systems with either delay or after-effects) are widely used to model
processes in physics, mechanics, control, economics and biology. An important element in …

A complete picture regarding the boundedness character of positive solutions to the
following difference equation where k≥ 2 and the parameters A and p are positive real …

This paper studies the behavior of positive solutions of the recursive equation\begin
{eqnarray} y_ {n}= 1+\frac {y_ {nk}}{y_ {nm}},~~ n= 0, 1, 2,\ldots,\nonumber\end {eqnarray} …

The authors investigate the global behavior of the solutions of the difference equation xn+
1= axn− lxn− k bxn− p+ cxn− q, n= 0, 1,···, where the initial conditions x− r, x− r+ 1, x− r+ 2 …

Recently, there has been great interest in studying nonlinear and rational difference
equations (cf.[1–23] and the references therein). One of the reasons for this is a necessity for …

This paper studies the boundedness, global attractivity, and periodicity of the positive
solutions of the difference equation xn+ 1= A+ xnp/xn− 1 p, n∈ ℕ0, with p, A∈(0,∞). The …

On a class of higher-order difference equations - ScienceDirect Skip to main contentSkip to
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The main goal of the paper is to confirm Conjecture 9.5. 5 stated by Kulenović and Ladas in
Dynamics of Second Order Rational Difference Equations with Open Problems and …

On a cyclic system of difference equations Page 1 On a cyclic system of difference equations
Stevo Stevica,b* aMathematical Institute of the Serbian Academy of Sciences, Knez Mihailova …