DISCONTINUOUS MATRIX STURM-LIOUVILLE PROBLEMS

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Allahverdiev B., Tuna H.

Eurasian Mathematical Journal, cilt.13, sa.3, ss.8-22, 2022 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.32523/2077-9879-2022-13-3-08-22
  • Dergi Adı: Eurasian Mathematical Journal
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Sayfa Sayıları: ss.8-22
  • Anahtar Kelimeler: matrix Sturm-Liouville problem, transmission conditions, maximal operator, minimal operator, self-adjoint operator, spectral resolution, OPERATOR
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

© 2022, Eurasian Mathematical Journal.All Rights Reserved.In this paper, we investigate discontinuous matrix Sturm-Liouville problems. We establish an existence and uniqueness result. Next, we introduce the corresponding maximal and minimal operators for this problem and some properties of these operators are investigated. Moreover, we give a criterion under which these operators are self-adjoint. Finally, we give an eigenfunction expansion