Oscillation theorems for the Dirac operator with a spectral parameter in the boundary condition

We consider the boundary value problem for the one-dimensional Dirac equation with spectral parameter dependent boundary condition. We give location of the eigenvalues on the real axis, study the oscillation properties of eigenvector-functions and obtain the asymptotic behavior of the eigenvalues an...

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Bibliographic Details
Published in:Electronic journal of qualitative theory of differential equations Vol. 2016; no. 115; pp. 1 - 10
Main Authors: Ziyatkhan Aliyev, Parvana Manafova
Format: Journal Article
Language:English
Published: University of Szeged 01.01.2016
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ISSN:1417-3875
Online Access:Get full text
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Summary:We consider the boundary value problem for the one-dimensional Dirac equation with spectral parameter dependent boundary condition. We give location of the eigenvalues on the real axis, study the oscillation properties of eigenvector-functions and obtain the asymptotic behavior of the eigenvalues and eigenvector-functions of this problem.
ISSN:1417-3875
DOI:10.14232/ejqtde.2016.1.115