Discontinuous Linear Hamiltonian Systems

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PAŞAOĞLU B., TUNA H.

FILOMAT, cilt.36, sa.3, ss.813-827, 2022 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 3
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2203813a
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.813-827
  • Anahtar Kelimeler: Hamiltonian system, transmission conditions, maximal operator, minimal operator, self-adjoint operator, spectral resolution, BOUNDARY-VALUE-PROBLEMS, PERIODIC-SOLUTIONS, M(LAMBDA) THEORY, CONTROLLABILITY, PENDULUM
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Süleyman Demirel Üniversitesi Adresli: Evet

Özet

We study a discontinuous linear Hamiltonian system. We obtain a result on the existence and uniqueness of solutions. Later, we introduce the corresponding maximal and minimal operators for this problem and the self-adjoint extensions of such a minimal operator are established. Finally, we obtain an eigenfunction expansion.