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Spectral properties of generalized eigenparameter dependent discrete Sturm-Liouville type equation     
Yazarlar
Prof. Dr. Turhan KÖPRÜBAŞI Prof. Dr. Turhan KÖPRÜBAŞI
Kastamonu Üniversitesi, Türkiye
Rn Mohapatra
Özet
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.).
Anahtar Kelimeler
Discrete equations | eigenparameter | eigenvalues | principal functions | spectral analysis | spectral singularities
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı QUAESTIONES MATHEMATICAE
Dergi ISSN 1607-3606
Dergi Tarandığı Indeksler SCI-Expanded
Makale Dili İngilizce
Basım Tarihi 01-2017
Cilt No 40
Sayı 4
Sayfalar 491 / 505
Doi Numarası 10.2989/16073606.2017.1299809
Makale Linki http://www.tandfonline.com/doi/abs/10.2989/16073606.2017.1299809