Abstract
We establish the existence of positive solutions for systems of second–order differential equations with discontinuous nonlinear terms. To this aim, we give a multivalued vector version of Krasnosel’skiĭ’s fixed point theorem in cones which we apply to a regularization of the discontinuous integral operator associated to the differential system. We include several examples to illustrate our theory.
Authors
Universidade de Santiago de Compostela, Santiago, Spain
Radu Precup
Babes-Bolyai University, Cluj-Napoca, Romania
Jorge Rodríguez-López
Universidade de Santiago de Compostela, Santiago, Spain
Keywords
Krasnosel’skiĭ’s fixed point theorem; positive solutions; discontinuous differential equations; differential system
Paper coordinates
R. López Pouso, R. Precup, J. Rodríguez-López, Positive solutions for discontinuous systems via a multivalued vector version of Krasnosel’skii’s fixed point theorem in cones, Mathematics 7 (5) (2019), art. id. 451, pp 15, https://doi.org/10.3390/math7050451
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2227-7390
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