On the Psi -Instability of a Non-Linear Difference System
Abstract
The objective of this work to give sufficient condition for on Instability of nonlinear difference system
x(m+1) = A (m) x(m) +f (m, x(m)) (1.1)
and the linear difference system of the form
x(m+1) = A (m) x(m) +B (m) x(m) (1.2)
As a perturbed system of x (m+1) =A(m) x (m) (1.3)
In equation (1.1) and (1.2) we consider that A(m) and B(m) are n ×n matrix valued mappings on N and f is a vector function of order n on N