Scattering and characteristic functions of a dissipative operator generated by a system of equations

BAYRAM E., TAŞ K., Uğurlu E.

Turkish Journal of Mathematics, cilt.45, sa.6, ss.2688-2702, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 45 Sayı: 6
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3906/mat-2108-76
  • 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.2688-2702
  • Anahtar Kelimeler: Boundary-value problem, Completeness theorem, Dissipative operator
  • Uşak Üniversitesi Adresli: Evet

Özet

In this paper, we consider a system of first-order equations with the same eigenvalue parameter together with dissipative boundary conditions. Applying Lax-Phillips scattering theory and Sz.-Nagy-Foiaş model operator theory we prove a completeness theorem.