A version of Krasnoselskii’s compression-expansion fixed point theorem in cones for discontinuous operators with applications

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Krasnoselskii_revised.pdf (348.3 KB)
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URI: https://hdl.handle.net/10347/44493
ISSN: 1230-3429

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2018

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Juliusz Schauder University Center for Nonlinear Studies
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Abstract

We introduce a new fixed point theorem of Krasnoselskii type for discontinuous operators. As an application we use it to study the existence of positive solutions of a second-order differential problem with separated boundary conditions and discontinuous nonlinearities.

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The final publication is available at the TMNA webpage via https://apcz.umk.pl/TMNA/article/view/TMNA.2018.003

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Krasnosel'skiĭ fixed point theorem| Positive solutions| Discontinuous differential equations

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FIGUEROA, Rubén, LÓPEZ POUSO, Rodrigo and RODRÍGUEZ-LÓPEZ, Jorge. A version of Krasnosel’skiĭ’s compression-expansion fixed point theorem in cones for discontinuous operators with applications. Topological Methods in Nonlinear Analysis. Online. 21 May 2018. Vol. 51, no. 2, pp. 493 - 510.

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Rodrigo López Pouso was partially supported by Ministerio de Economí y Competitividad, Spain, and FEDER, Project MTM2016-75140-P, and Xunta de Galicia GRC2015/004. Rubén Figueroa and Jorge Rodríguez-López were partially supported by Xunta de Galicia, project EM2014/032.

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Estatística, Análise Matemática e Optimización