Geodesic
Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion
Electronic journal of differential equations, Tome 2008 (2008)
Using Bressan-Colombo results, concerning the existence of continuous selections of lower semicontinuous multifunctions with decomposable values, we prove a continuous version of Filippov's theorem for a Sturm-Liuoville differential inclusion. This result allows to obtain a continuous selection of the solution set of the problem considered.
Classification : 34A60
Keywords: lower semicontinuous multifunction, selection, solution set 
@article{EJDE_2008__2008__a17,
     author = {Cernea,  Aurelian},
     title = {Continuous version of {Filippov's} theorem for a {Sturm-Liouville} type differential inclusion},
     journal = {Electronic journal of differential equations},
     year = {2008},
     volume = {2008},
     zbl = {1169.34306},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a17/}
}
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Cernea,  Aurelian. Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion. Electronic journal of differential equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a17/