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

Authors

ELGİZ BAYRAM
KENAN TAŞ
EKİN UĞURLU

DOI

10.3906/mat-2108-76

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.

Keywords

Boundary-value problem, dissipative operator, completeness theorem

First Page

2688

Last Page

2702

Recommended Citation

BAYRAM, ELGİZ; TAŞ, KENAN; and UĞURLU, EKİN (2021) "Scattering and characteristic functions of a dissipative operator generated by a system of equations," Turkish Journal of Mathematics: Vol. 45: No. 6, Article 21. https://doi.org/10.3906/mat-2108-76
Available at: https://journals.tubitak.gov.tr/math/vol45/iss6/21