Principal Functions of Nonselfadjoint Discrete Dirac Equations with Spectral Parameter in Boundary Conditions

Yelda Aygar, Murat Olgun and Turhan Koprubasi

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: Let L denote the operator generated in ℓ2(ℕ, ℂ2) by an+1yn+1(2)+bnyn(2)+pnyn(1)=λyn(1) , an-1yn-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.

Date: 2012
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https://doi.org/10.1155/2012/924628

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:924628

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