Existence of Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function

Mohamed, Alhussein (2021) Existence of Positive Solutions for a Fourth-Order Three-Point BVP with Sign-Changing Green’s Function. Applied Mathematics, 12 (04). pp. 311-321. ISSN 2152-7385

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Official URL: https://doi.org/10.4236/am.2021.124022

Abstract

In this article, by using a fixed point theorem, we study following fourth-order three-point BVP:
where f ∈ C([0,1]×[0,+∞),[0,+∞)) α ∈ [0,6) and . The main point to emphasize is that although the corresponding Green’s function is changing signs, by applying the fixed point theorem, we can still obtain at least two positive solutions and degreased solutions under certain suitable conditions.

Item Type:	Article
Subjects:	Journal Eprints > Mathematical Science
Depositing User:	Managing Editor
Date Deposited:	18 Feb 2023 11:56
Last Modified:	24 May 2024 05:32
URI:	http://repository.journal4submission.com/id/eprint/411

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