Electron. J. Diff. Eqns.,
Vol. 2008(2008), No. 53, pp. 17.
Continuous version of Filippov's theorem for a
SturmLiouville type differential inclusion
Aurelian Cernea
Abstract:
Using BressanColombo 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 SturmLiuoville 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.
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Aurelian Cernea
Faculty of Mathematics and Informatics
University of Bucharest
Academiei 14, 010014 Bucharest, Romania
email: acernea@math.math.unibuc.ro 
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