Scattering theory of Dirac operator with the impulsive condition on whole axis

Bairamov E., Solmaz Ş.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, vol.44, no.9, pp.7732-7746, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 44 Issue: 9
  • Publication Date: 2021
  • Doi Number: 10.1002/mma.6645
  • Journal Name: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.7732-7746
  • Keywords: differential equations, Dirac system, Jost solutions, scattering matrix, 4TH-ORDER DIFFERENTIAL OPERATOR, STURM-LIOUVILLE PROBLEMS, DISSIPATIVE OPERATORS, TRANSMISSION, EQUATIONS, SYSTEMS
  • TED University Affiliated: Yes

Abstract

In this paper, we study the Jost solutions of the impulsive Dirac systems (IDS) on entire axis and examine analytic and asymptotic properties of these solutions. Furthermore, we obtain a general form of the scattering matrix of the IDS and its characteristic properties. Finally, we also compare the similar properties for the IDS with the mass on entire axis with an example.