Dissipative eigenvalue problems for a singular Dirac system
APPLIED MATHEMATICS AND COMPUTATION, cilt.152, sa.1, ss.127-139, 2004 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 152 Sayı: 1
- Basım Tarihi: 2004
- Doi Numarası: 10.1016/s0096-3003(03)00550-2
- Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.127-139
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
Dissipative singular Dirac operators are studied in the space L-A(2) ([a,b) ; C-2) (-infinity < a < b less than or equal to infinity), that the extensions of a minimal symmetric operator in Weyl's limit-point case. We construct a selfadjoint dilation and its incoming and outgoing spectral representations, which makes it possible to determine the scattering matrix of dilation. We construct a functional model of the dissipative operator and specify its characteristic function in terms of the Titchmarsh-Weyl function of selfadjoint operator. We prove theorems on completeness of the system of eigenvectors and associated vectors of the dissipative Dirac operators. (C) 2003 Elsevier Inc. All rights reserved.