Electronic Journal of Differential Equations,
Vol. 2008(2008), No. 53, pp. 1-7.

Title: Continuous version of Filippov's theorem for a
       Sturm-Liouville type differential inclusion
 
Author: Aurelian Cernea (Univ. of Bucharest, Romania)

Abstract: 
 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.
 
Submitted January 22, 2008. Published April 10, 2008.
Math Subject Classifications: 34A60.
Key Words: Lower semicontinuous multifunction; selection; solution set.