In this work we prove the existence of solutions of a class of paratingent equations with delayed argument,
![$$
(Pt\;x)(t)\subset F([x]_{t})\quad\hbox{for } t\geq 0
$$](gifs/aa.gif)
with the initial condition
for
.
We use a fixed point theorem to obtain a solution and then
provide an estimate for the solution.
Lotfi Boudjenah
Abstract:
In this work we prove the existence of solutions of a class of
paratingent equations with delayed argument,
with the initial condition
for
.
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.
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Lotfi Boudjenah Département de Mathématiques Université d'Oran BP 1524, Oran 31000, Algeria email: lotfi.boudjenah@univ-oran.dz |
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