Geodesic
Existence of solutions to a paratingent equation with delayed argument
Electronic journal of differential equations, Tome 2005 (2005)
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__a236,
     author = {Boudjenah,  Lotfi},
     title = {Existence of solutions to a paratingent equation with delayed argument},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34054},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a236/}
}
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JO  - Electronic journal of differential equations
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VL  - 2005
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%0 Journal Article
%A Boudjenah,  Lotfi
%T Existence of solutions to a paratingent equation with delayed argument
%J Electronic journal of differential equations
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%F EJDE_2005__2005__a236
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__a236/