Open AccessExplicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation
Author(s) -
Sung Woo Choi
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021619
Subject(s) - boundary value problem , deflection (physics) , diagonal , mathematics , mathematical analysis , integral equation , beam (structure) , physics , geometry , classical mechanics , optics
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 \times 4 $ matrices in block-diagonal form with explicit $ 2 \times 2 $ blocks.