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, 1-10

Abstract:

We investigate the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP) ð ‘Ž ð ‘› − 1 𠑦 ð ‘› − 1 + ð ‘ ð ‘› 𠑦 ð ‘› + ð ‘Ž ð ‘› 𠑦 ð ‘› + 1 = 𠜆 𠑦 ð ‘› , ð ‘› ∈ â„• and ( ð ›¾ 0 + ð ›¾ 1 𠜆 ) 𠑦 1 + ( ð ›½ 0 + ð ›½ 1 𠜆 ) 𠑦 0 = 0 , where ( ð ‘Ž ð ‘› ) and ( ð ‘ ð ‘› ) are complex sequences, 𠜆 is an eigenparameter, and ð ›¾ ð ‘– , ð ›½ ð ‘– ∈ â„‚ for ð ‘– = 0 , 1.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:608329

DOI: 10.1155/2011/608329

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