Chapter 16

In this section, our main objective is to establish sufficient conditions for the local and global existence of solutions to the following system of first order discrete inclusions,

∆x(k) ∈ F (k, x(k), y(k)), k ∈ N(0, b), ∆y(k) ∈ G(k, x(k), y(k)), k ∈ N(0, b), x(0) = x0, y(0) = y0,

(16.1)

where F,G : N(0, b)× Rm × Rm −→ P(Rm) are given multifunctions.