Dynamical Behavior Of Some Nonlinear Difference Equations

This paper is concerned with dynamical behavior of some nonlinear difference equations. By using qualitative and stability theory of nonlinear difference equations together with some inequality techniques, we study the existence, stability and attractivity of equilibria, and the boundedness, the periodic character, the global attractivity and the global asymptotic stability of all positive and all negative solutions of some nonlinear delay dif-ference equations: . Some of the obtained results solve some open research project and open problems proposed by Kulenovic and Ladas.