Some properties of the Jost solutions and scattering function of a multiplicative Dirac system


Öznur G. B., Özbey G. G., Aygarküçükevcilioğlu Y., Karaman R. A.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, vol.55, no.2, pp.655-666, 2026 (SCI-Expanded, Scopus, TRDizin)

  • Publication Type: Article / Article
  • Volume: 55 Issue: 2
  • Publication Date: 2026
  • Doi Number: 10.15672/hujms.1716685
  • Journal Name: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.655-666
  • Middle East Technical University Affiliated: Yes

Abstract

In this study, we deal with a multiplicative Dirac system by giving Jost solutions, Jost functions and multiplicative integral representations of the solutions of this system. We also present asymptotic representations for Jost solutions and Jost functions. Moreover, we define the scattering function of the system.