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

Abstract

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.

Keywords

• one dimensional dirac equation
• eigenvalue
• eigenvector-function
• oscillatory properties
• asymptotic behavior of the eigenvalues and eigenfunctions