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2018 A version of Krasnosel'skiĭ's compression-expansion fixed point theorem in cones for discontinuous operators with applications
Rubén Figueroa, Rodrigo López Pouso, Jorge Rodríguez-López
Topol. Methods Nonlinear Anal. 51(2): 493-510 (2018). DOI: 10.12775/TMNA.2018.003

Abstract

We introduce a new fixed point theorem of Krasnosel'skiĭ 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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Rubén Figueroa. Rodrigo López Pouso. Jorge Rodríguez-López. "A version of Krasnosel'skiĭ's compression-expansion fixed point theorem in cones for discontinuous operators with applications." Topol. Methods Nonlinear Anal. 51 (2) 493 - 510, 2018. https://doi.org/10.12775/TMNA.2018.003

Information

Published: 2018
First available in Project Euclid: 24 May 2018

zbMATH: 06928845
MathSciNet: MR3829041
Digital Object Identifier: 10.12775/TMNA.2018.003

Rights: Copyright © 2018 Juliusz P. Schauder Centre for Nonlinear Studies

Vol.51 • No. 2 • 2018
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