Principal Functions of Non‐Selfadjoint Difference Operator with Spectral Parameter in Boundary Conditions

Murat Olgun, Turhan Koprubasi and Yelda Aygar

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) an−1yn−1 + bnyn + anyn+1 = λyn, n ∈ ℕ and (γ0 + γ1λ)y1 + (β0 + β1λ)y0 = 0, where (an) and (bn) are complex sequences, λ is an eigenparameter, and γi, βi ∈ ℂ for i = 0, 1.

Date: 2011
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https://doi.org/10.1155/2011/608329

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:608329

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