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Oscillation Properties for the Dirac Equation with Spectral Parameter in the Boundary Condition

Bulletin of the Malaysian Mathematical Sciences Society volume 43, pages 1449–1463 (2020)Cite this article

Abstract

In this paper, we consider the boundary value problem for the one-dimensional Dirac system with spectral parameter in the boundary condition. We completely study the oscillatory properties of components of the eigenvector functions of this problem.

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Authors and Affiliations

  1. Department of Mathematical Analysis, Baku State University, 1148, Baku, Azerbaijan

    Z. S. Aliyev & P. R. Manafova

  2. Department of Differential Equations, Institute of Mathematics and Mechanics NAS of Azerbaijan, 1141, Baku, Azerbaijan

    Z. S. Aliyev

Authors
  1. Z. S. Aliyev
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  2. P. R. Manafova
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Correspondence to Z. S. Aliyev.

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Communicated by Ahmad Izani Md. Ismail.

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Aliyev, Z.S., Manafova, P.R. Oscillation Properties for the Dirac Equation with Spectral Parameter in the Boundary Condition. Bull. Malays. Math. Sci. Soc. 43, 1449–1463 (2020). https://doi.org/10.1007/s40840-019-00749-1

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  • DOI: https://doi.org/10.1007/s40840-019-00749-1

Keywords

  • One-dimensional canonical Dirac system
  • Eigenvalue
  • Eigenvector function
  • Spectral parameter in the boundary condition
  • Oscillation properties of eigenvector functions

Mathematics Subject Classification

  • 34A30
  • 34B05
  • 34B09
  • 34B24
  • 34C10
  • 34K11