Asymptotic constancy of solutions of systems of difference equations
The authors study the asymptotic equilibrium of a system of general nonlinear difference equations \(\Delta x_n = f(n,x_n)\), \(n \in \mathbb{N}\). They show that the solutions of the above system approach constant vectors as \(n \to \infty\), under appropriate assumptions, which they discuss in great detail. Suitable illustrations supporting their theorems are also given.
system of general nonlinear difference equations
scientific article; zbMATH DE number 894082