JournalspmVol. 65, No. 4pp. 485–496

On the solution set of some classes of nonconvex nonclosed differential inclusions

  • Aurelian Cernea

    University of Bucharest, Romania
On the solution set of some classes of nonconvex nonclosed differential inclusions cover
Download PDF

Abstract

We consider a nonconvex and nonclosed semilinear differential inclusion and prove the arcwise connectedness of the set of its mild solutions. A similar result is provided for a class of nonconvex, nonclosed second order differential inclusions.

Cite this article

Aurelian Cernea, On the solution set of some classes of nonconvex nonclosed differential inclusions. Port. Math. 65 (2008), no. 4, pp. 485–496

DOI 10.4171/PM/1822