RT Journal Article T1 Positive solutions for discontinuous systems via a multivalued vector version of Krasnosel’skiĭ’s fixed point theorem in cones A1 López Pouso, Rodrigo A1 Precup, Radu A1 Rodríguez López, Jorge K1 Krasnosel’skiĭ’s fixed point theorem K1 Positive solutions K1 Discontinuous differential equations K1 Differential system AB We establish the existence of positive solutions for systems of second–order differentialequations with discontinuous nonlinear terms. To this aim, we give a multivalued vector version ofKrasnosel’ski˘ı’s fixed point theorem in cones which we apply to a regularization of the discontinuousintegral operator associated to the differential system. We include several examples to illustrateour theory PB MDPI YR 2019 FD 2019 LK http://hdl.handle.net/10347/21032 UL http://hdl.handle.net/10347/21032 LA eng NO López Pouso, R.; Precup, R.; Rodríguez-López, J. Positive Solutions for Discontinuous Systems via a Multivalued Vector Version of Krasnosel’skiĭ’s Fixed Point Theorem in Cones. Mathematics 2019, 7, 451 NO R. López Pouso was partially supported by Ministerio de Economía y Competitividad, Spain,and FEDER, Project MTM2016-75140-P, and Xunta de Galicia ED341D R2016/022 and GRC2015/004. Jorge Rodríguez-López was partially supported by Xunta de Galicia Scholarship ED481A-2017/178 DS Minerva RD 7 jun 2026