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Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams

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Bibliographic Details
Main Authors: L. P., Kiss, G., Szeidl
Format: Book
Language:English
Published: Springer 2023
Subjects:
Green functions
Timoshenko beams
Online Access:https://link.springer.com/article/10.1007/s00707-023-03502-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8502
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spelling oai:localhost:PNK-85022023-05-25T01:32:43Z Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams L. P., Kiss G., Szeidl Green functions Timoshenko beams CC BY The present paper is devoted to the issue of the Green function matrices that belongs to some three-point boundary- and eigenvalue problems. A detailed definition is given for the Green function matrices provided that the considered boundary value problems are governed by a class of ordinary differential equation systems associated with homogeneous boundary and continuity conditions. The definition is a constructive one, i.e., it provides the means needed for calculating the Green function matrices. The fundamental properties of the Green function matrices—existence, symmetry properties, etc.—are also clarified. Making use of these Green functions, a class of three-point eigenvalue problems can be reduced to eigenvalue problems governed by homogeneous Fredholm integral equation systems. The applicability of the novel findings is demonstrated through a Timoshenko beam with three supports. 2023-05-25T01:32:43Z 2023-05-25T01:32:43Z 2023 Book https://link.springer.com/article/10.1007/s00707-023-03502-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8502 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Green functions
Timoshenko beams
spellingShingle Green functions
Timoshenko beams
L. P., Kiss
G., Szeidl
Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams
description CC BY
format Book
author L. P., Kiss
G., Szeidl
author_facet L. P., Kiss
G., Szeidl
author_sort L. P., Kiss
title Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams
title_short Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams
title_full Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams
title_fullStr Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams
title_full_unstemmed Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams
title_sort green functions for three-point boundary value problems governed by differential equation systems with applications to timoshenko beams
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00707-023-03502-9
https://dlib.phenikaa-uni.edu.vn/handle/PNK/8502
_version_ 1772331160329781248
score 8.891145

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