Positive Solutions of a Discontinuous One-Dimensional Beam Equation

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URI: https://hdl.handle.net/10347/44803
E-ISSN: 2180-4206
DOI: 10.1007/s40840-020-01072-w

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2021

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Springer
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Abstract

We provide sufficient conditions for the existence of one positive solution for a fourth-order beam equation with a discontinuous nonlinear term. Also a multiplicity result is established. They are based on a recent generalization of the Krasnosel’skiĭ fixed point theorem in cones.

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This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s40840-020-01072-w

Keywords

Fourth order problem| Positive solution| Krasnosel’ski˘ı theorem| Discontinuous differential equation| Multiplicity result

Bibliographic citation

Rodríguez-López, J. Positive Solutions of a Discontinuous One-Dimensional Beam Equation. Bull. Malays. Math. Sci. Soc. 44, 2357–2370 (2021). https://doi.org/10.1007/s40840-020-01072-w

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Partially supported by Xunta de Galicia under grants ED481A-2017/178 and ED431C-2019/2, Spain.

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Estatística, Análise Matemática e Optimización
Instituto de Matemáticas