- Current Issue - Ahead of Print Articles - All Issues - Search - Open Access - Information for Authors - Downloads - Guideline - Regulations ㆍPaper Submission ㆍPaper Reviewing ㆍPublication and Distribution - Code of Ethics - For Authors ㆍOnlilne Submission ㆍMy Manuscript - For Reviewers - For Editors
 On positiveness and contractiveness of the integral operator arising from the beam deflection problem on elastic foundation Bull. Korean Math. Soc. 2015 Vol. 52, No. 4, 1225-1240 https://doi.org/10.4134/BKMS.2015.52.4.1225Published online July 31, 2015 Sung Woo Choi Duksung Women's University Abstract : We provide a complete proof that there are no eigenvalues of the integral operator $\mathcal{K}_l$ outside the interval $(0,1/k)$. $\mathcal{K}_l$ arises naturally from the deflection problem of a beam with length $2l$ resting horizontally on an elastic foundation with spring constant $k$, while some vertical load is applied to the beam. Keywords : beam, deflection, elastic foundation, integral operator, eigenvalue, $L^2$-norm MSC numbers : Primary 34L15, 47G10, 74K10 Downloads: Full-text PDF