Discretization methods for nonconvex differential inclusions

M. Yarou, University of Jijel, Jijel, Algeria

E. J. Qualitative Theory of Diff. Equ., No. 12. (2009), pp. 1-10.

Abstract: We prove the existence of solutions for the differential inclusion $\dot x(t)\in F(t,x(t)) + f(t,x(t))$ for a multifunction $F$ upper semicontinuous with compact values contained in the generalized Clarke gradient of a regular locally Lipschitz function and $f$ a Carath\'{e}odory function.

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