Explicit characteristic equations for integral operators arising from well-posed boundary value problems of finite beam deflection on elastic foundation

Abstract

<abstract><p>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.</p></abstract>