Hahn-Hamiltonian systems

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Allahverdİev B. P., Tuna H.

Turkish Journal of Mathematics, cilt.47, sa.1, ss.317-332, 2023 (SCI-Expanded, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 1
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3362
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.317-332
  • Anahtar Kelimeler: Regular Hahn-Hamiltonian system, maximal and minimal operators, self-adjoint operator, eigenfunction expansion
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

© TÜBİTAKIn this paper, we study the basic theory of regular Hahn-Hamiltonian systems. In this context, we establish an existence and uniqueness result. We introduce the corresponding maximal and minimal operators for this system and some properties of these operators are investigated. Moreover, we give a criterion under which these operators are self-adjoint. Finally, an expansion theorem is proved