{
  "abstract": "We analyze parameter dependence of the complex resonance frequency (RF) spectrum of the nonselfadjoint boundary-value problems associated with a mathematical model of the resonance scattering by an infinite dielectric cylinder. The notions of spectral mapping and spectral set are introduced and applied to solve the addressed problem. A particular focus is toward RF evolution with respect to the varying complex refraction index, visualization of spectral sets, and developing robust methods aimed at the RF calculation and determination of spectral sets.",
  "abstract_shown": true,
  "affiliations": [
    "Department of Mathematical Simulation, Bauman Moscow State Technical University, 5/1 2nd Baumanskaya St., Moscow 105005, Russia",
    "Department of Electronics, Mathematics, and Natural Sciences, Faculty of Engineering and Sustainable Development, University of Gävle, SE 801 76 Gävle, Sweden"
  ],
  "article_type": null,
  "arxiv": null,
  "author_total": 2,
  "authors": [
    {
      "affs": [
        0
      ],
      "name": "Garnik V. Abgaryan",
      "orcid": "0000-0001-5272-1684"
    },
    {
      "affs": [
        1
      ],
      "name": "Yury V. Shestopalov",
      "orcid": "0000-0002-2691-2820"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2nystqchsn8nd.bib",
  "cited_by": 0,
  "doi": "10.3390/math14213850",
  "fulltext_url": null,
  "id": "2nystqchsn8nd",
  "issns": [
    "2227-7390"
  ],
  "landing_url": "https://www.mdpi.com/2227-7390/14/21/3850",
  "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",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7223200550",
  "pdf_url": null,
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-22",
  "publisher": "MDPI AG",
  "ris": "https://research.draconitic.com/paper/2nystqchsn8nd.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:18:29Z",
      "native_id": "10.3390/math14213850",
      "source": "crossref",
      "url": "https://www.mdpi.com/2227-7390/14/21/3850"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2610|Spectral Theory in Mathematical Physics",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Method of Spectral Mappings for Nonselfadjoint Boundary-Value Problems Associated with Resonance Scattering by Open Structures",
  "title_text": "Method of Spectral Mappings for Nonselfadjoint Boundary-Value Problems Associated with Resonance Scattering by Open Structures",
  "type": "peer-reviewed",
  "updated_at": "2026-10-30T12:18:29Z",
  "url": "https://research.draconitic.com/paper/2nystqchsn8nd",
  "venue": "Mathematics",
  "versions": []
}