{"paper":{"title":"On some a priori majorant of eigenvalues of Sturm--Liouville problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"A.A.Vladimirov","submitted_at":"2016-02-04T20:32:25Z","abstract_excerpt":"Let $M_\\gamma$ be precise a priori majorant of first eigenvalues of Sturm--Liouville problems $-y\"+qy=\\lambda y,\\quad y(0)=y(1)=0$, where $q\\leqslant 0$ and $\\int_0^1 |q|^\\gamma\\,dx=1$, $\\gamma\\in (0,1/2)$. It is shown that the inequality $M_\\gamma<\\pi^2$ is true."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.05228","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"}