Second-order discontinuous problems with nonlinear functional boundary conditions on the half-line

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URI: https://hdl.handle.net/10347/44472
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2018.1.79

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2018

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University of Szeged
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We establish sufficient conditions for the existence of extremal solutions for a second-order problem on the half-line with discontinuous right-hand side and nonlinear boundary conditions. Our results are new even in the classical case of continuous nonlinearities. We illustrate their applicability with an example.

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Discontinuous differential equations| Upper and lower solutions| Half line problems| Fixed point theorems| Extremal solutions

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Rodrigo 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 financially supported by Xunta de Galicia Schol- arship ED481A-2017/178.

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Attribution-NonCommercial-NoDerivatives 4.0 International

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Estatística, Análise Matemática e Optimización