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A note on the spectral singularities of non-selfadjoint matrix-valued difference operators

✍ Scribed by Seyhmus Yardimci

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
240 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

Let L denote the non-selfadjoint operator generated in 2 (N, E) by the matrix difference expression ( y) n = A n-1 y n-1 + B n y n + A n y n+1 , n ∈ N, and the boundary condition y 0 = 0.

In this paper we investigate the Jost solution, the continuous spectrum, the eigenvalues and the spectral singularities of L.

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## Abstract We consider a class of non‐selfadjoint operators generated by the equation and the boundary conditions, which govern small vibrations of an ideal filament with non‐conservative boundary conditions at one end and a heavy load at the other end. The filament has a non‐constant density and