On a Study of Some Difference Equations Including Bifurcation Analysis

We consider some recurrence relations, which has been investigated earlier by M. Qena. We extend some of the results regarding the existence of periodic solutions. Furthermore, we try to study the behavior of the solutions in other cases. We were able to show the unboundedness and specifically the monotone increasing behavior in many of these cases. We then started a bifurcation analysis for the behavior of the solutions, by which we used the computer in order to do some calculations without any rigorous mathematical proofs.