Yarou, M. Discretization methods for nonconvex differential inclusions. (English) Zbl 1186.34024 Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 12, 10 p. (2009). 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 Keywords:nonconvex differential inclusions; subdiferential; locally Lipschitz regular functions; Carathéodory perturbation PDFBibTeX XMLCite \textit{M. Yarou}, Electron. J. Qual. Theory Differ. Equ. 2009, Paper No. 12, 10 p. (2009; Zbl 1186.34024) Full Text: DOI EuDML EMIS