Green functions for three-point boundary value problems governed by differential equation systems with applications to Timoshenko beams
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s00707-023-03502-9 https://dlib.phenikaa-uni.edu.vn/handle/PNK/8502 |
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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 |