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

BAYRAM E., TAŞ K., Uğurlu E.

Turkish Journal of Mathematics, vol.45, no.6, pp.2688-2702, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 45 Issue: 6
  • Publication Date: 2021
  • Doi Number: 10.3906/mat-2108-76
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2688-2702
  • Keywords: Boundary-value problem, Completeness theorem, Dissipative operator
  • Uşak University Affiliated: Yes

Abstract

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.