The one-dimensional Schrodinger operator on bounded time scales
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.40, sa.1, ss.78-83, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 40 Sayı: 1
- Basım Tarihi: 2017
- Doi Numarası: 10.1002/mma.3966
- Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.78-83
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this paper, we consider the one-dimensional Schrodinger operator on bounded time scales. We construct a space of boundary values of the minimal operator and describe all maximal dissipative, maximal accretive, self-adjoint, and other extensions of the dissipative Schrodinger operators in terms of boundary conditions. In particular, using Lidskii's theorem, we prove a theorem on completeness of the system of root vectors of the dissipative Schrodinger operators on bounded time scales. Copyright (C) 2016 John Wiley & Sons, Ltd.