Non-selfadjoint Matrix Sturm-Liouville operators with eigenvalue-dependent boundary conditions
Hacettepe Journal of Mathematics and Statistics, ISSN: 2651-477X, Vol: 44, Issue: 3, Page: 607-614
2015
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Article Description
In this paper we investigate discrete spectrum of the non-selfadjoint matrix Sturm-Liouville operator L generated in L (ℝ+; S) by the differential expression (Formula presented); and the boundary condition y’ (0) – (β+ β λ + β λ)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.
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