On the structure of the set solutions of a class of paratingent equation with delayed argument

Abstract

In this paper we will study the main properties of the set solutions of the paratingent equation (type differential inclusion) with delayed argument of the form: (Ptx)(t) ⊂ F([x]t ) for t ≥ 0 with the initial condition: x(t) =z (t) for t ≤ 0. We will be interested particularly in the topological properties of emission and zone of emission.