{
  "abstract": "We investigate a broad class of linear inhomogeneous boundary-value problems of order $r$ for systems of ordinary differential equations depending on a parameter $μ$ belonging to an abstract metric space $\\mathcal M$. The solutions belong to the spaces of continuously differentiable vector-valued functions $(C^{(n+r)})^m$, $n\\in\\mathbb{N}\\cup\\{0\\}$, $m, r \\in \\mathbb{N}$. The boundary conditions have the most general form $By=c$, where $B$ is an arbitrary continuous linear operator from $(C^{(n+r)})^m$ to $\\mathbb{C}^{rm}$. Thus, they may contain derivatives of the unknown vector-valued function of integer and/or fractional orders up to $n+r$ inclusive. We establish necessary and sufficient conditions for the continuous dependence of solutions on the parameter $μ$. Furthermore, we prove that the solutions of the original problems can be approximated in the space $(C^{(n+r)})^m$ by solutions of systems of ordinary differential equations with polynomial coefficients, polynomial right-hand sides, and multipoint boundary conditions, where the approximating problems are constructed independently of the right-hand sides of the original problem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.07991",
  "author_total": 2,
  "authors": [
    {
      "name": "O. M. Atlasiuk"
    },
    {
      "name": "V. A. Mikhailets"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6zqjhtyzsc8fq.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.07991",
  "fulltext_url": null,
  "id": "6zqjhtyzsc8fq",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.07991",
  "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": null,
  "pdf_url": "https://arxiv.org/pdf/2611.07991",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-05",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6zqjhtyzsc8fq.ris",
  "sources": [
    {
      "first_seen": "2026-11-06T18:21:34Z",
      "native_id": "2611.07991",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.07991"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    }
  ],
  "title": "Parameter-dependent inhomogeneous boundary-value problems in spaces of continuously differentiable functions",
  "title_text": "Parameter-dependent inhomogeneous boundary-value problems in spaces of continuously differentiable functions",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:48Z",
  "url": "https://research.draconitic.com/paper/6zqjhtyzsc8fq",
  "venue": "arXiv",
  "versions": []
}