Geodesic
Existence of solutions to a paratingent equation with delayed argument
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Classification : 34A60, 49J24, 49K24
Keywords: convex delayed argument, differential inclusion, paratingent, set-valued function, upper semi-continuity 
@article{EJDE_2005__2005__a36,
     author = {Boudjenah, Lotfi},
     title = {Existence of solutions to a paratingent equation with delayed argument},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a36/}
}
TY  - JOUR
AU  - Boudjenah, Lotfi
TI  - Existence of solutions to a paratingent equation with delayed argument
JO  - Electronic Journal of Differential Equations
PY  - 2005
VL  - 2005
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a36/
LA  - en
ID  - EJDE_2005__2005__a36
ER  - 
%0 Journal Article
%A Boudjenah, Lotfi
%T Existence of solutions to a paratingent equation with delayed argument
%J Electronic Journal of Differential Equations
%D 2005
%V 2005
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a36/
%G en
%F EJDE_2005__2005__a36
Boudjenah, Lotfi. Existence of solutions to a paratingent equation with delayed argument. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a36/