{
  "abstract": "We study Liouville transforms for the differential equation $Ju'+qu=wf$ on the real interval $(a,b)$ where $J$ is a constant, invertible, skew-hermitian matrix and $q$ and $w$ are matrices whose entries are distributions of order $0$ with $q$ Hermitian and $w$ non-negative. In particular, we examine their use in the treatment of quasi-regular endpoints and their impact on the Weyl-Titchmarsh $\\mathbb M$-function associated with the differential equation.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.08661",
  "author_total": 1,
  "authors": [
    {
      "name": "Rudi Weikard"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cz1hca4rar9zm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.08661",
  "fulltext_url": null,
  "id": "cz1hca4rar9zm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.08661",
  "language": null,
  "licence": "CC-BY-NC-ND-4.0",
  "licence_label": "CC BY-NC-ND 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.CA"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.SP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.08661",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cz1hca4rar9zm.ris",
  "sources": [
    {
      "first_seen": "2026-11-10T06:21:04Z",
      "native_id": "2611.08661",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.08661"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Liouville transforms for ordinary differential equations with distributional coefficients",
  "title_text": "Liouville transforms for ordinary differential equations with distributional coefficients",
  "type": "preprint",
  "updated_at": "2026-11-10T06:21:07Z",
  "url": "https://research.draconitic.com/paper/cz1hca4rar9zm",
  "venue": "arXiv",
  "versions": []
}