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.
Citation: Sung Woo Choi. Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation[J]. AIMS Mathematics, 2021, 6(10): 10652-10678. doi: 10.3934/math.2021619
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.
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Sung Woo Choi. Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation[J]. AIMS Mathematics, 2021, 6(10): 10652-10678. doi: 10.3934/math.2021619
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