On positiveness and contractiveness of the integral operator arising from the beam deflection problem on elastic foundation
Classical Analysis and ODEs
2014-08-22 v1
Abstract
We provide a complete proof that there are no nontrivial eigenvalues of the integral operator outside the interval . arises naturally from the deflection problem of a beam with length resting horizontally on an elastic foundation with spring constant , while some vertical load is applied to the beam.
Keywords
Cite
@article{arxiv.1408.5025,
title = {On positiveness and contractiveness of the integral operator arising from the beam deflection problem on elastic foundation},
author = {Sung Woo Choi},
journal= {arXiv preprint arXiv:1408.5025},
year = {2014}
}