A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data

The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an exis...

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Autores principales:	Ammar Khanfer, Lazhar Bougoffa
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/5dd5aecbcd784ad3890dcf5f4f4b1840
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spelling	oai:doaj.org-article:5dd5aecbcd784ad3890dcf5f4f4b18402021-11-22T01:09:29ZA Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data2314-888810.1155/2021/9081623https://doaj.org/article/5dd5aecbcd784ad3890dcf5f4f4b18402021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/9081623https://doaj.org/toc/2314-8888The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an existence theorem for the problem under integral boundary conditions u0=u′0=∫01pxuxdx,u″1=u′′′1=∫01qxu″xdx, where p,q∈L10,1, and f is continuous on 0,1×0,∞×0,∞×−∞,0×−∞,0.Ammar KhanferLazhar BougoffaHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Ammar Khanfer Lazhar Bougoffa A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
description	The boundary value problem of a fourth-order beam equation u4=λfx,u,u′,u″,u′′′,0≤x≤1 is investigated. We formulate a nonclassical cantilever beam problem with perturbed ends. By determining appropriate values of λ and estimates for perturbation measurements on the boundary data, we establish an existence theorem for the problem under integral boundary conditions u0=u′0=∫01pxuxdx,u″1=u′′′1=∫01qxu″xdx, where p,q∈L10,1, and f is continuous on 0,1×0,∞×0,∞×−∞,0×−∞,0.
format	article
author	Ammar Khanfer Lazhar Bougoffa
author_facet	Ammar Khanfer Lazhar Bougoffa
author_sort	Ammar Khanfer
title	A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
title_short	A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
title_full	A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
title_fullStr	A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
title_full_unstemmed	A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data
title_sort	cantilever beam problem with small deflections and perturbed boundary data
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/5dd5aecbcd784ad3890dcf5f4f4b1840
work_keys_str_mv	AT ammarkhanfer acantileverbeamproblemwithsmalldeflectionsandperturbedboundarydata AT lazharbougoffa acantileverbeamproblemwithsmalldeflectionsandperturbedboundarydata AT ammarkhanfer cantileverbeamproblemwithsmalldeflectionsandperturbedboundarydata AT lazharbougoffa cantileverbeamproblemwithsmalldeflectionsandperturbedboundarydata
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A Cantilever Beam Problem with Small Deflections and Perturbed Boundary Data

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