Geodesic
Continuous selections of set of mild solutions of evolution inclusions
Electronic Journal of Differential Equations, Tome 2005 (2005).

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

Summary: We prove the existence of continuous selections of the set valued map $$\displaylines{ \dot{x}(t) \in A(t)x(t)+\int_0^tK(t,s)F(s,x(s))ds \cr x(0)=\xi ,\quad t\in I=[0,T], }$$ where $F$ is a lower semi continuous set valued map Lipchitzean with respect to $x$ in a separable Banach space $X, A$ is the infinitesimal generator of a $C_0$-semi group of bounded linear operators from $X$ to $X$, and $K(t,s)$ is a continuous real valued function defined on $I\times I$ with $t\geq s$ for all $t,s\in I$ and $\xi \in X$.
Classification : 34A60, 34G20
Keywords: mild solutions, differential inclusions, integrodifferential inclusions 
@article{EJDE_2005__2005__a130,
     author = {Anguraj, Annamalai and Murugesan, Chinnagounder},
     title = {Continuous selections of set of mild solutions of evolution inclusions},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a130/}
}
TY  - JOUR
AU  - Anguraj, Annamalai
AU  - Murugesan, Chinnagounder
TI  - Continuous selections of set of mild solutions of evolution inclusions
JO  - Electronic Journal of Differential Equations
PY  - 2005
VL  - 2005
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a130/
LA  - en
ID  - EJDE_2005__2005__a130
ER  - 
%0 Journal Article
%A Anguraj, Annamalai
%A Murugesan, Chinnagounder
%T Continuous selections of set of mild solutions of evolution inclusions
%J Electronic Journal of Differential Equations
%D 2005
%V 2005
%I mathdoc
%U http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a130/
%G en
%F EJDE_2005__2005__a130
Anguraj, Annamalai; Murugesan, Chinnagounder. Continuous selections of set of mild solutions of evolution inclusions. Electronic Journal of Differential Equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a130/