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Existence and uniqueness of positive solutions for a nonlinear fourth-order boundary value problem

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Abstract

This work presents sufficient conditions for the existence and uniqueness of a positive solution for a nonlinear fourth-order differential equation under Lidstone boundary conditions. Our analysis relies on a fixed point theorem in partially ordered sets.

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Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017, Las Palmas de Gran Canaria, Spain

    J. Harjani & K. Sadarangani

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  1. J. Harjani
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  2. K. Sadarangani
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Correspondence to K. Sadarangani.

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Harjani, J., Sadarangani, K. Existence and uniqueness of positive solutions for a nonlinear fourth-order boundary value problem. Positivity 14, 849–858 (2010). https://doi.org/10.1007/s11117-010-0066-8

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  • DOI: https://doi.org/10.1007/s11117-010-0066-8

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