Faham ,Mohammed El AminDr: Lallouche Abdallah2025-11-262025-11-262025http://dspace.univ-skikda.dz:4000/handle/123456789/5512This work investigates the qualitative behavior of several classes of evolution nonlinear difference equation and systems; we focus on their stability properties, boundedness, and periodic nature. We also illustrate our theoretical findings with numerical examplesenMémoire de Master