Discrete Spectrum of a General Quadratic Pencil of Schrödinger Equations
Yazarlar (2)
Prof. Dr. Ali AKBULUT Kırşehir Ahi Evran Üniversitesi, Türkiye
E. Bairamov Ankara Üniversitesi, Türkiye
| Makale Türü | Özgün Makale (SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale) | ||
| Dergi Adı | Indian Journal of Pure and Applied Mathematics (Q4) | ||
| Dergi ISSN | 0019-5588 Dergi Bilgileri (2006) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | İngilizce | Basım Tarihi | 01-2006 |
| Cilt / Sayı / Sayfa | 37 / 5 / 307–315 | DOI | – |
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| The spectral analysis of a non-selfadjoint Sturm-Liouville equation (SLE) with continuous and discrete spectrum was investigated by Naimark [13]. He proved the existence of the spectral singularities in the continuous spectrum of SLE. Lyance showed that the spectral singularities play an important role in the spectral theory of SLE [12]. He also studied the effect of the spectral singularities in the spectral expansion of SLE in terms of the principal functions. Some problems of the spectral analysis of a non-selfadjoint Schrödinger, Dirac and Klein-Gordon differential and difference equations with spectral singularities were studied in [1],[4],[5],[7]−[10]. Let us consider the boundary value problem (BVP)− y+[V (x)+ 2λU (x)− λ2] y= 0, x∈ R+=[0,∞),(1.1) y (0)= 0,(1.2) |
| Anahtar Kelimeler |
| Boundary value problems | Dicrete spectrum | Spectral singularities |