%0 Journal Article
%T Continuous version of Filippov's theorem for a Sturm-Liouville type differential inclusion
%A Aurelian Cernea
%J Electronic Journal of Differential Equations
%D 2008
%I Texas State University
%X 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.
%K Lower semicontinuous multifunction
%K selection
%K solution set
%U http://ejde.math.txstate.edu/Volumes/2008/53/abstr.html