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

Asymptotic Behavior of the Solutions of a Class of Rational Difference Equations 1 Introduction
Page 1 International Journal of Difference Equations ISSN 0973-6069, Volume 5, Number 2, pp …

Recently, there has been an increasing interest in the study of qualitative analyses of
rational difference equations and systems of difference equations. Difference equations …

We describe all the solutions of a rational difference equation from Putnam's mathematical
competition, which are eventually equal to its positive equilibrium x¯= 1. As a consequence …

Özet In this paper a sufficient condition is obtained for the global asmptotic stability of the
following system of difference equations x (n+ 1)= x (n)+ n (n-1)/x (n) y (n-1)+ 1, y (n+ 1)= y …

We study discrete dynamic systems in a complete metric space (M, d) defined by mappings
which satisfy Prešić type contractive conditions. Their counterparts in an ordered Banach …

On a System of Rational Difference Equations Page 1 n n 2 n n 2 n 1 n 1 nn 2 nn 2 x y yx x , y
, n 0,1,2,... xy 1 yx 1 − − + + − − + + = = = + + n n 2 n n 2 n 1 n 1 nn 2 nn 2 x y yx x , y , n 0,1,2 …

This paper is concerned with the following nonlinear difference equations where the initial
data x− m, x− m+ 1,…, x− 1, x0∈ R+, m= max {s1,…, sl, t1,…, tk}, s1,…, sl, t1,…, tk are non …

We study the global asymptotic stability of the equilibrium point for the fractional difference
equation xn+ 1=(axn− lxn− k)/(α+ bxn− s+ cxn− t), n= 0, 1,…, where the initial conditions x− r …

In this paper, we determine the forbidden set, introduce an explicit formula for the solutions
and discuss the global behavior of solutions of the difference equation xn+ 1= a⁢ xn⁢ xn …