Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation
Characteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of 4×4 matrices in block-diagonal form with explicit 2×2 blocks.
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AIMS Press
2021-07-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2021619?viewType=HTML |
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doaj-01e5ac1f184141a0b5f3ff9eb60c539e2021-08-03T01:37:12ZengAIMS PressAIMS Mathematics2473-69882021-07-01610106521067810.3934/math.2021619Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundationSung Woo Choi 0Department of Mathematics, Duksung Women's University, Seoul 01369, KoreaCharacteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of 4×4 matrices in block-diagonal form with explicit 2×2 blocks.https://www.aimspress.com/article/doi/10.3934/math.2021619?viewType=HTMLbeamblock-diagonalcharacteristic equationdeflectioneigenfunctioneigenvalueelastic foundationintegral operatorspectrum |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Sung Woo Choi |
| spellingShingle |
Sung Woo Choi Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation AIMS Mathematics beam block-diagonal characteristic equation deflection eigenfunction eigenvalue elastic foundation integral operator spectrum |
| author_facet |
Sung Woo Choi |
| author_sort |
Sung Woo Choi |
| title |
Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation |
| title_short |
Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation |
| title_full |
Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation |
| title_fullStr |
Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation |
| title_full_unstemmed |
Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation |
| title_sort |
explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-07-01 |
| description |
Characteristic equations for the whole class of integral operators arising from arbitrary well-posed two-point boundary value problems of finite beam deflection resting on elastic foundation are obtained in terms of 4×4 matrices in block-diagonal form with explicit 2×2 blocks. |
| topic |
beam block-diagonal characteristic equation deflection eigenfunction eigenvalue elastic foundation integral operator spectrum |
| url |
https://www.aimspress.com/article/doi/10.3934/math.2021619?viewType=HTML |
| work_keys_str_mv |
AT sungwoochoi explicitcharacteristicequationsforintegraloperatorsarisingfromwellposedboundaryvalueproblemsoffinitebeamdeflectiononelasticfoundation |
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