Geodesic
Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion
Electronic Journal of Differential Equations, Tome 2008 (2008).

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

Summary: 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 
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     author = {Cernea, Aurelian},
     title = {Continuous version of {Filippov's} theorem for a {Sturm-Liouville} type differential inclusion},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2008},
     year = {2008},
     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/