Quadratic eigenparameter dependent discrete Sturm Liouville equations with spectral singularities
Yazarlar (2)
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
Nihal Yokuş Selçuk Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Applied Mathematics and Computation (Q1) | ||
| Dergi ISSN | 0096-3003 Dergi Bilgileri (2014) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 10-2014 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-10-2014 |
| Cilt / Sayı / Sayfa | 244 / 1 / 57–62 | DOI | 10.1016/j.amc.2014.06.072 |
| Makale Linki | http://linkinghub.elsevier.com/retrieve/pii/S0096300314009163 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| Let us consider the boundary value problem (BVP) for the discrete Sturm–Liouville equation (0.1) a n-1 y n-1+ b n y n+ a n y n+ 1= λ y n, n∈ N,(0.2)(γ 0+ γ 1 λ+ γ 2 λ 2) y 1+(β 0+ β 1 λ+ β 2 λ 2) y 0= 0, where (a n) and (b n), n∈ N are complex sequences, γ i, β i∈ C, i= 0, 1, 2, and λ is a eigenparameter. Discussing the point spectrum, we prove that the BVP (0.1),(0.2) has a finite number of eigenvalues and spectral singularities with a finite multiplicities, if sup n∈ N exp (ε n δ) 1-a n+ b n<∞ for some ε> 0 and 1 2⩽ δ⩽ 1. |
| Anahtar Kelimeler |
| Discrete equations | Eigenparameter | Eigenvalues | Spectral analysis | Spectral singularities |
Science Direct
Quadratic eigenparameter dependent discrete Sturm Liouville equations with spectral singularities
| Atıf Sayıları | |
| Web of Science | 15 |
| Scopus | 11 |