{"paper":{"title":"On a Zolt\\'an Boros' problem connected with polynomial-like iterative equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Janusz Morawiec, Szymon Draga","submitted_at":"2015-01-26T15:03:07Z","abstract_excerpt":"We determine all continuous solutions $g\\colon I\\to I$ of the polynomial-like iterative equation $g^3(x)=3g(x)-2x$, where $I\\subset\\mathbb R$ is an interval. In particular, we obtain an answer to a problem posed by Zolt\\'{a}n Boros (during the Fiftieth International Symposium on Functional Equations, 2012) of determining all continuous functions $f\\colon (0,+\\infty)\\to (0,+\\infty)$ satisfying $f^3(x)=\\frac{[f(x)]^3}{x^2}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06427","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"}