Spectral Properties Of Generalized Eigenparameter Dependent Discrete Sturm-Liouville Type Equation

Keywords

Discrete equations; eigenparameter; eigenvalues; principal functions; spectral analysis; spectral singularities

Abstract

Let L denote the non-selfadjoint difference operator of second order with boundary condition generated in ℓ2 (ℕ) by (Figure presented.) (Figure presented.) where {an}n∈ℕ and {bn}n∈ℕ are complex sequences, γi, βi ∈ ℂ, i = 0, 1, 2, …, p and λ is a eigenparameter. Discussing the spectral properties of L, we investigate the Jost function, spectrum, the spectral singularities, and the properties of the principal vectors corresponding to the spectral singularities of L, if (Figure presented.).

Publication Date

7-10-2017

Publication Title

Quaestiones Mathematicae

Volume

40

Issue

4

Number of Pages

491-505

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.2989/16073606.2017.1299809

Socpus ID

85017420050 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85017420050

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