Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 14, pp. 1-8.
Title: Existence of solutions to a paratingent equation with delayed argument
Author: Lotfi Boudjenah (Univ. d'Oran, Algeria)
Abstract:
In this work we prove the existence of solutions of a class of
paratingent equations with delayed argument,
$$
(Pt\;x)(t)\subset F([x]_{t})\quad\hbox{for } t\geq 0
$$
with the initial condition $x(t)=\xi (t)$ for $t\leq 0$.
We use a fixed point theorem to obtain a solution and then
provide an estimate for the solution.
Submitted December 6, 2004. Published January 30, 2005.
Math Subject Classifications: 34A60, 49J24, 49K24.
Key Words: Convex delayed argument; differential inclusion; paratingent;
set-valued function; upper semi-continuity.