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

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ÖZNUR G. B., ÖZBEY G. G., AYGAR KÜÇÜKEVCİLİOĞLU Y., AKTAŞ KARAMAN R.

Hacettepe Journal of Mathematics and Statistics, cilt.55, sa.2, ss.655-666, 2026 (SCI-Expanded, Scopus, TRDizin) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 2
  • Basım Tarihi: 2026
  • Doi Numarası: 10.15672/hujms.1716685
  • Dergi Adı: Hacettepe Journal of Mathematics and Statistics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.655-666
  • Anahtar Kelimeler: asymptotic equation, Jost function, Jost solution, multiplicative calculus, multiplicative Dirac system, scattering function
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

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.