Positive Solutions for Third‐Order Boundary Value Problems with the Integral Boundary Conditions and Dependence on the First‐Order Derivatives

Fei Yang, Yuanjian Lin, Juan Zhang and Quanfu Lou

Journal of Applied Mathematics, 2022, vol. 2022, issue 1

Abstract: In this paper, by the use of a new fixed point theorem and the Green function of BVPs, the existence of at least one positive solution for the third‐order boundary value problem with the integral boundary conditions is considered,where there is a nonnegative continuous function. Finally, an example which to illustrate the main conclusions of this paper is given.

Date: 2022
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https://doi.org/10.1155/2022/8411318

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2022:y:2022:i:1:n:8411318

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