This paper is concerned with the behavior of solution of the nonlinear difference equation
xn+ 1= axn− 1+ bxnxn− 1/(cxn+ dxn− 2), n= 0, 1,…, where the initial conditions x− 2, x− 1, x0 …

This self-contained monograph provides systematic, instructive analysis of second-order
rational difference equations. After classifying the various types of these equations and …

Sharkovsky's Theorem, Li and Yorke's" period three implies chaos" result, and the (3x+ 1)
conjecture are beautiful and deep results that demonstrate the rich periodic character of first …

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

ON THE DIFFERENCE EQUATION xn+1 = axn −bxn/(cxn −dxn−1) Page 1 ON THE
DIFFERENCE EQUATION xn+1 = axn −bxn/(cxn −dxn−1) EM ELABBASY, H. EL-METWALLY …

We investigate the global stability character, the periodic nature, and the boundedness of
solutions of a rational difference equation with nonnegative parameters and with …

In this paper we investigate some qualitative behavior of the solutions of the recursive
sequence xn+ 1= dxn− lxn− k cxn− s− b+ a, n= 0, 1,... where the initial conditions x− r, x− r+ …

In this paper we investigate some qualitative behavior of the solutions of the recursive
sequence x< sub> n+ 1= ax< sub> nk/β+ γΠ< sup> k< sub> i= 0 x< sub> ni, n= 0, 1,… where …

In this paper we investigate the global convergence result, bounded-ness, and periodicity of
solutions of the recursivesequence $ x_ {n+ 1}=\frac {\alpha x_ {n}+\beta x_ {n-1}+\gamma …

Difference equations are of growing importance in engineering in view of their applications
in discrete time‐systems used in association with microprocessors. We will check out the …