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

Ziyatkhan S. Aliyev | Zendy; Parvana Manafova | Zendy

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

Author(s) -

Ziyatkhan S. Aliyev,

Parvana Manafova

Publication year - 2016

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2016.1.115

Subject(s) - mathematics , dirac operator , boundary value problem , operator (biology) , oscillation (cell signaling) , dirac (video compression format) , mathematical analysis , mathematical physics , quantum mechanics , physics , biochemistry , chemistry , repressor , transcription factor , neutrino , gene , genetics , biology

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.

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