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- Title
Principal Functions of Nonselfadjoint Discrete Dirac Equations with Spectral Parameter in Boundary Conditions.
- Authors
Aygar, Yelda; Olgun, Murat; Koprubasi, Turhan
- Abstract
Let L denote the operator generated in ℓ2(N, C2) by an+1yn+1(2) + bnyn(2) + pnyn(1) = λyn(1), an-1 yn-1(1)+bnyn(1)+qnyn(2) = λyn(2), n∈N and the boundary condition (γ0 + γ1λ)y1(2) + ( β0 + β1λ)y0(1) = 0, where (an), (bn),(pn), and (qn), n ∈ N are complex sequences γi, βi ∈ C, i =0,1, and λ is an eigenparameter. In this paper we investigated the principal functions corresponding to the eigenvalues and the spectral singularities of L.
- Subjects
DIRAC equation; NONSELFADJOINT operators; MATHEMATICAL functions; SPECTRAL theory; BOUNDARY value problems; MATHEMATICAL sequences; EIGENVALUES
- Publication
Abstract & Applied Analysis, 2012, p1
- ISSN
1085-3375
- Publication type
Article
- DOI
10.1155/2012/924628