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

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....

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2011; no. 2011; pp. 2507 - 2516
Main Authors Olgun, Murat, Koprubasi, Turhan, Aygar, Yelda
Format Journal Article
LanguageEnglish
Published Cairo, Egypt Hindawi Limiteds 01.01.2011
Hindawi Puplishing Corporation
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects
Boundary value problems
Difference equations
Operator theory
Turkey
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Summary: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.
ISSN:1085-3375
1687-0409
DOI:10.1155/2011/608329