We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Jost Solution and the Spectrum of the Discrete Dirac Systems.
- Authors
Bairamov, Elgiz; Aygar, Yelda; Olgun, Murat
- Abstract
We find polynomial-type Jost solution of the self-adjoint discrete Dirac systems. Then we investigate analytical properties and asymptotic behaviour of the Jost solution. Using the Weyl compact perturbation theorem, we prove that discrete Dirac system has the continuous spectrum filling the segment-2,2. We also study the eigenvalues of the Dirac system. In particular, we prove that the Dirac system has a finite number of simple real eigenvalues.
- Subjects
DIRAC equation; POLYNOMIALS; PERTURBATION theory; WEYL theory of boundary value problems; MATHEMATICAL proofs; EIGENVALUES; SPECTRAL theory
- Publication
Boundary Value Problems, 2010, p1
- ISSN
1687-2762
- Publication type
Article
- DOI
10.1155/2010/306571