{"paper":{"title":"On positiveness and contractiveness of the integral operator arising from the beam deflection problem on elastic foundation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Sung Woo Choi","submitted_at":"2014-08-21T14:56:21Z","abstract_excerpt":"We provide a complete proof that there are no nontrivial 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 $l$ resting horizontally on an elastic foundation with spring constant $k$, while some vertical load is applied to the beam."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.5025","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}