✨
AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
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 Key Takeaways
🎯
Objective & Hypothesis: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.
📊
Key Findings & Data: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.
💡
Conclusion & Impact:Also using the uniqueness theorem of analytic functions we prove that L has a finite number of eigenvalues and spectral singularities with finite multiplicities
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables: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
Keywords
🔖
Cite This Article
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