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Positive Solutions of a Discontinuous One-Dimensional Beam Equation

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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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Acknowledgements

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

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Correspondence to Jorge Rodríguez-López.

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Communicated by Syakila Ahmad.

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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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  • DOI: https://doi.org/10.1007/s40840-020-01072-w

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