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 …

Open problems and conjectures: On the recursive sequence <inline-formula> <inline-graphic
xlink:href='gdea_a_880803 Page 1 OPEN PROBLEMS AND CONJECTURES EDITED BY …

In this paper, using a generalization of division for fuzzy numbers, we study the existence
and global behavior of the fuzzy difference equation x n+ 1= A+ B xn, n= 0, 1,..., where A and …

We consider positive solutions of the following difference equation xn= max A xnmk, B
xnmm, n= 0, 1,…, where A, B are any positive real numbers and k, m are any positive …

We investigate the periodic nature of solutions of a “max-type” difference equation
sometimes referred to as the “Lyness max” equation. The equation we consider is xn+ 1 …

Consider the discrete dynamical system generated by a map F. It is said that it is globally
periodic if there exists a natural number p such that F p (x)= x for all x in the phase space. On …

We give an overview of results on the existence of periodic solutions of difference equations
that have been obtained in the last two decades. The survey covers both ordinary and …

Recently, there has been a great interest in studying the periodic nature of nonlinear
difference equations. Although difference equations are relatively simple in form, it is …

We consider the max-type equation xn+ 4= max {xn+ 3, xn+ 2, xn+ 1, 0}− xn, with arbitrary
real initial conditions. We describe completely its set of periods P er (F 4), as well as its …

We investigate the periodic nature of solutions of a" max-type" difference equation
sometimes referred to as the" Lyness max" equation. The equation we consider is where is a …