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

Bayram, ElgizTas, KenanUgurlu, EkinMatematik2022-12-162022-12-162021Bayram, Elgiz; Taş, Kenan; Uğurlu, Ekin (2021). "Scattering and characteristic functions of a dissipative operator generated by a system of equations", Turkish Journal of Mathematics, Vol. 45, No. 6, pp. 268-2702.1300-00981303-6149https://doi.org/10.3906/mat-2108-76Ugurlu, Ekin/0000-0002-0540-8545; Tas, Kenan/0000-0001-8173-453XIn 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-Foias model operator theory we prove a completeness theorem.eninfo:eu-repo/semantics/openAccessBoundary-Value ProblemDissipative OperatorCompleteness TheoremScattering and characteristic functions of a dissipative operator generated by a system of equationsScattering and Characteristic Functions of a Dissipative Operator Generated by a System of EquationsArticle4562688270210.3906/mat-2108-762-s2.0-85121798329WOS:000720852800001Q2Q2