- Hacettepe Journal of Mathematics and Statistics
- Vol: 44 Issue: 3
- Non-selfadjoint matrix Sturm-Liouville operators with eigenvalue-dependent boundary conditions
Non-selfadjoint matrix Sturm-Liouville operators with eigenvalue-dependent boundary conditions
Authors : Murat Olgun
Pages : 607-614
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Publication Date : 2015-06-01
Article Type : Research
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 multiplicitiesKeywords : Eigenvalues, Spectral Singularities, Spectral Analysis, Sturm-Liouville Operator, Non-Selfadjoint Matrix Operator