Principal Functions of Boundary-Value Problem with Quadratic Spectral Parameter in Boundary Conditions
Yazarlar (2)
Nihal Yokuş Karamanoğlu Mehmetbey Üniversitesi, Türkiye
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Gazi University Journal of Science | ||
| Dergi ISSN | 2147-1762 Dergi Bilgileri (2017) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 03-2017 |
| Cilt / Sayı / Sayfa | 30 / 1 / 371–379 | DOI | – |
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| In this paper, we determine the principal functions corresponding to the eigenvalues and the spectral singularities of the boundary value problem (BVP)-y′′+q(x)y=λ²y, x∈ℝ₊=[0,∞] (α₀+α₁λ+α₂λ²)y′(0)-(β₀+β₁λ+β₂λ²)y(0)=0,where q is a complex-valued function, α_{i}, β_{i}∈ℂ, i=0,1,2 and λ is a eigenparameter, and introduce the convergence properties of principal functions. |
| Anahtar Kelimeler |
| Differential operator | Eigenvalue | Jost solution | Non-selfadjoint | Principal function | Spectral analysis | Spectral singularity |