Discrete Dynamical Systems Described by Neutral Equations

Abstract

This paper is concerned with discrete dynamical systems described by neutral difference equations of the form

$$\Delta f(n,{x_n}) = g(n,{x_n}),{x_n} = x(n) $$

(1.1)

where Δ stands for the first order difference, i.e.,

$$\Delta u\ln = {{u}_{{n + 1}}} - {{u}_{n}}$$

(1.2)

with n∈ℤor n∈ ℤ₊.