Benabdellah, H.; Castaing, C.; Salvadori, A.; Syam, A. Nonconvex sweeping process. (English) Zbl 0873.34050 J. Appl. Anal. 2, No. 2, 217-240 (1996). Authors’ summary: We discuss the existence of bounded variation and Lipschitzean solutions for the sweeping process associated to a nonconvex closed moving set and its applications to a new class of evolution problem governed by a subdifferential of a Lipschitz function. Convex and nonconvex perturbations of the preceding evolution problem are also studied. Reviewer: J.Myjak (L’Aquila) Cited in 8 Documents MSC: 34G20 Nonlinear differential equations in abstract spaces 34A60 Ordinary differential inclusions Keywords:convex and nonconvex perturbations; bounded variation; Lipschitzean solutions; sweeping process; evolution problem; subdifferential; Lipschitz function PDFBibTeX XMLCite \textit{H. Benabdellah} et al., J. Appl. Anal. 2, No. 2, 217--240 (1996; Zbl 0873.34050) Full Text: DOI EuDML