GSTF Journal of Mathematics, Statistics and Operations Research (JMSOR)

, 3:1

First online:

Open Access This content is freely available online to anyone, anywhere at any time.

Nonlinear Piecewise-defined Difference Equations with Reciprocal and Cubic Terms

  • Ramadan SabraAffiliated withUniversity of Minsk
  • , Saleem S. Al-ashhabAffiliated withHumboldt UniversityAl-albayt university


In this paper we consider the several types of piecewise defined sequences. We prove some results concerning the behavior of the sequence. In some cases we prove that the terms repeat themselves in certain patterns, and we prove in other cases that the terms grow monotonically after few terms and approaches infinity.


component difference equations discrete dynamical systems bifurcation periodic sequences