Oscillation properties for the equation of the relativistic quantum theory

Ziyatkhan S. Aliyev and Humay Sh. Rzayeva

Applied Mathematics and Computation, 2015, vol. 271, issue C, 308-316

Abstract: In this paper we consider the boundary value problem for the canonical one-dimensional Dirac system and investigate the oscillatory properties of the eigenvector-functions of this problem. We find the number of zeros of components of the eigenvector-functions in dependence on the parameters of boundary conditions and give a refinement the asymptotic formula for the eigenvalues of the considered problem.

Keywords: One-dimensional Dirac system; Eigenvalue; Eigenvector-function; Oscillation properties of the eigenvector-functions (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:271:y:2015:i:c:p:308-316

DOI: 10.1016/j.amc.2015.08.135

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