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Application of the mixed monotone operator to a nonlinear third-order boundary value problem

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we use the mixed monotone operator method to study the following nonlinear boundary value problem

$$\begin{aligned} \left\{ \begin{array}{ll} -u'''(t)=f(t,u(t),u(\varrho t))+g(t,u(t)),&{}\quad 0<t<1,\,\varrho \in (0,1), \\ u(0)=u''(0)=u(1)=0. \end{array} \right. \end{aligned}$$

An example is provided to illustrate the results.

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Acknowledgements

All authors were partially supported by the Project ULPGC 2014–04 and the third author was supported by Project MTM 2016–79436–P.

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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

    I. J. Cabrera, J. Rocha & K. B. Sadarangani

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  1. I. J. Cabrera
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  2. J. Rocha
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  3. K. B. Sadarangani
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Correspondence to I. J. Cabrera.

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Cabrera, I.J., Rocha, J. & Sadarangani, K.B. Application of the mixed monotone operator to a nonlinear third-order boundary value problem. RACSAM 112, 1317–1325 (2018). https://doi.org/10.1007/s13398-017-0423-6

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  • DOI: https://doi.org/10.1007/s13398-017-0423-6

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