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Yapay Zeka Hızlı Bakış & Çıkarımlar
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Also using the uniqueness theorem of analytic functions we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities
📌 3 Maddede Bu Makale
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Amaç & Hipotez:In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm-Liouville operator L generated in L 2 (R+, S) by the differential expression ` (y) = −y 00 + Q (x) y , x ∈ R+ : [0, ∞), and the boundary condition y0(0) − β0 + β1λ + β2λ 2 y (0) = 0 where Q is a non-selfadjoint matrix valued function.
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Temel Bulgular & Veri:In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm-Liouville operator L generated in L 2 (R+, S) by the differential expression ` (y) = −y 00 + Q (x) y , x ∈ R+ : [0, ∞), and the boundary condition y0(0) − β0 + β1λ + β2λ 2 y (0) = 0 where Q is a non-selfadjoint matrix valued function.
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Sonuç & Katkı:Also using the uniqueness theorem of analytic functions we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Eigenvalues · Spectral Singularities · Spectral Analysis
Abstract
In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm-Liouville operator L generated in L 2 (R+, S) by the differential expression ` (y) = −y 00 + Q (x) y , x ∈ R+ : [0, ∞), and the boundary condition y0(0) − β0 + β1λ + β2λ 2 y (0) = 0 where Q is a non-selfadjoint matrix valued function. Also using the uniqueness theorem of analytic functions we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities
Anahtar kelimeler
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Bu Makaleye Atıf Yap
OLGUN, M. (2022). Non-selfadjoint matrix Sturm-Liouville operators with eigenvalue-dependent boundary conditions. Hacettepe Journal of Mathematics and Statistics, Cilt: 44 - Sayı: 3, 607–614. https://ajindex.com/articles/530248