×

Discretization methods for nonconvex differential inclusions. (English) Zbl 1186.34024

Summary: 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 Carathéodory function.

MSC:

34A60 Ordinary differential inclusions
49J52 Nonsmooth analysis
34G25 Evolution inclusions
PDFBibTeX XMLCite
Full Text: DOI EuDML EMIS