Aliyev, Ziyatkhan; Manafova, Parvana Oscillation theorems for the Dirac operator with a spectral parameter in the boundary condition. (English) Zbl 1399.34279 Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 115, 10 p. (2016). 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. Cited in 2 Documents MSC: 34L40 Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) 34B09 Boundary eigenvalue problems for ordinary differential equations 34L15 Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators 34L20 Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators 34B07 Linear boundary value problems for ordinary differential equations with nonlinear dependence on the spectral parameter 34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations Keywords:one-dimensional Dirac equation; eigenvalue; eigenvector-function; oscillatory properties; asymptotic behavior of the eigenvalues and eigenfunctions PDFBibTeX XMLCite \textit{Z. Aliyev} and \textit{P. Manafova}, Electron. J. Qual. Theory Differ. Equ. 2016, Paper No. 115, 10 p. (2016; Zbl 1399.34279) Full Text: DOI