{
  "abstract": "In this contribution we consider the singular periodic problem \\[ u''+k\\,u=g(u)+e(t),\\quad u(0)=u(2π),\\,\\,u'(0)=u'(2π), \\] where $k\\in\\R,$ $e:\\J\\to\\R$ is Lebesgue integrable and $g:\\I\\mapsto\\R$ is continuous, but can have a singularity at $x=0.$ In particular, I wish to revisit our earlier result regarding the existence of at least two its solutions and present a proof that is somewhat more transparent than the original one.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.04501",
  "author_total": 1,
  "authors": [
    {
      "name": "Milan Tvrdý"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4v2gf67q6wccs.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.04501",
  "fulltext_url": null,
  "id": "4v2gf67q6wccs",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.04501",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.CA"
    ],
    [
      "openalex",
      "2604|Nonlinear Differential Equations Analysis"
    ]
  ],
  "openalex": "W7220740124",
  "pdf_url": "https://arxiv.org/pdf/2610.04501",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4v2gf67q6wccs.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.04501",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.04501"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Multiple solutions of singular periodic problems",
  "title_text": "Multiple solutions of singular periodic problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/4v2gf67q6wccs",
  "venue": "arXiv",
  "versions": []
}