Positive solutions for discontinuous systems via a multivalued vector version of Krasnosel’skii’s fixed point theorem in cones

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

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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About this paper

Journal

Mathematics

Publisher Name

MDPI

Print ISSN
Online ISSN

2227-7390

google scholar link

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