{"paper":{"title":"Lipschitzian solutions to inhomogeneous linear iterative equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Janusz Morawiec, Karol Baron","submitted_at":"2016-07-01T08:01:26Z","abstract_excerpt":"We study the problems of the existence, uniqueness and continuous dependence of Lipschitzian solutions $\\varphi$ of equations of the form $$ \\varphi(x)=\\int_{\\Omega}g(\\omega)\\varphi\\big(f(x,\\omega)\\big)\\mu(d\\omega)+F(x), $$ where $\\mu$ is a measure on a $\\sigma$-algebra of subsets of a set $\\Omega$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05119","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"}