{
  "abstract": "We examine a nonlinear viscoelastic Kirchhoff model endowed with a logarithmic source. Assuming suitable hypotheses and under the inclusion of nonlinear distributed delay feedback terms, in addition to the acoustic and fractional boundary feedback terms, we obtain global existence, general decay estimates, and finite-time blow-up for negative initial energy, all for a wide range of relaxation kernels. The Kirchhoff term K(∥∇W∥22) significantly changes the structure of the Nehari manifold and requires a new energy functional based on the primitive K^. Our analysis identifies the precise blow-up mechanism and establishes sharp dimension-dependent restrictions on the exponent p. Our outcomes broaden and enhance recent contributions on classical wave equations to the physically meaningful Kirchhoff framework.",
  "abstract_shown": true,
  "affiliations": [
    "School of Mathematics and Statistics, Shanxi University, Taiyuan 030006, China",
    "Department of Mathematics, College of Science, Qassim University, P.O. Box 6644, Buraydah 52571, Saudi Arabia"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 4,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Zahid Ullah",
      "orcid": "0000-0003-2208-8106"
    },
    {
      "affs": [
        0
      ],
      "name": "Jianghao Hao",
      "orcid": "0000-0002-3573-8406"
    },
    {
      "affs": [
        1
      ],
      "name": "Ahmed Bchatnia",
      "orcid": "0000-0003-3795-5081"
    },
    {
      "affs": [
        0
      ],
      "name": "Abdul Aziz"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/9nfdv6prfcfb6.bib",
  "cited_by": 1,
  "doi": "10.3390/axioms15100728",
  "fulltext_url": null,
  "id": "9nfdv6prfcfb6",
  "issns": [
    "2075-1680"
  ],
  "landing_url": "https://www.mdpi.com/2075-1680/15/10/728",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "openalex",
      "2207|Stability and Controllability of Differential Equations"
    ]
  ],
  "openalex": "W7214970402",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-30",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/9nfdv6prfcfb6.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:30Z",
      "native_id": "10.3390/axioms15100728",
      "source": "crossref",
      "url": "https://www.mdpi.com/2075-1680/15/10/728"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "journal-openalex:F26",
      "subfield": "general"
    }
  ],
  "title": "Global Solution, Decay, and Blow-Up of a Viscoelastic Kirchhoff System with Logarithmic Nonlinearity and Acoustic Fractional Delay Boundary Conditions",
  "title_text": "Global Solution, Decay, and Blow-Up of a Viscoelastic Kirchhoff System with Logarithmic Nonlinearity and Acoustic Fractional Delay Boundary Conditions",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:30Z",
  "url": "https://research.draconitic.com/paper/9nfdv6prfcfb6",
  "venue": "Axioms",
  "versions": []
}