{"paper":{"title":"High multiplicity and chaos for an indefinite problem arising from genetic models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Alberto Boscaggin, Elisa Sovrano, Guglielmo Feltrin","submitted_at":"2019-05-12T09:00:01Z","abstract_excerpt":"We deal with the periodic boundary value problem associated with the parameter-dependent second-order nonlinear differential equation \\begin{equation*} u'' + cu' + \\bigr{(} \\lambda a^{+}(x) - \\mu a^{-}(x) \\bigr{)} g(u) = 0, \\end{equation*} where $\\lambda,\\mu>0$ are parameters, $c\\in\\mathbb{R}$, $a(x)$ is a locally integrable $P$-periodic sign-changing weight function, and $g\\colon\\mathopen{[}0,1\\mathclose{]}\\to\\mathbb{R}$ is a continuous function such that $g(0)=g(1)=0$, $g(u)>0$ for all $u\\in\\mathopen{]}0,1\\mathclose{[}$, with superlinear growth at zero. A typical example for $g(u)$, that is "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.04671","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"}