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Spectrum and the Jost solution of discrete impulsive Klein-Gordon equation with hyperbolic eigenparameter     
Yazarlar
Prof. Dr. Turhan KÖPRÜBAŞI Prof. Dr. Turhan KÖPRÜBAŞI
Kastamonu Üniversitesi, Türkiye
Özet
Let ʟ denote the quadratic pencil of difference operator with boundary and impulsive conditions generated in ℓ2(ℕ) by (Formula Presented) are real sequences, λ = 2 cosh (Formula Presented) is a hyperbolic eigenparameter and △, ▽ are respectively forward and backward operators. In this paper, the spectral properties of ʟ such as the spectrum, the eigenvalues, the scattering function and their properties are investigated. Moreover, an example about the scattering function and the existence of eigenvalues is given in the special cases, if (Formula Presented).
Anahtar Kelimeler
Hyperbolic parameter | Impulsive condition | Klein-Gordon equations | Scattering function | Spectral analysis
Makale Türü Özgün Makale
Makale Alt Türü ESCI dergilerinde yayımlanan tam makale
Dergi Adı GAZI UNIVERSITY JOURNAL OF SCIENCE
Dergi ISSN 2147-1762
Dergi Tarandığı Indeksler E-SCI
Makale Dili Türkçe
Basım Tarihi 01-2022
Cilt No 35
Sayı 4
Sayfalar 1614 / 1622
Doi Numarası 10.35378/gujs.881459
Makale Linki http://dx.doi.org/10.35378/gujs.881459