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Research Article Open access CC BY 3.0

On the Properties of the Set Solutions of a Class of Paratingent Equation with Delay

Lotfi Boudjenah

Journal of Advances in Mathematics and Computer Science · pp. 1999–2003 · Published 21 May 2014

10.9734/BJMCS/2014/10537

Abstract

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

Attainable set compact continuous dependence delay differential inclusion emission paratingent set solutions

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