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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Vydáno v:	Electronic journal of qualitative theory of differential equations Ročník 2016; číslo 115; s. 1 - 10
Hlavní autoři:	Ziyatkhan Aliyev, Parvana Manafova
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	University of Szeged 01.01.2016
Témata:	asymptotic behavior of the eigenvalues and eigenfunctions eigenvalue eigenvector-function one dimensional dirac equation oscillatory properties
ISSN:	1417-3875
On-line přístup:	Získat plný text
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Popis
Shrnutí:	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