Scattering theory of Dirac operator with the impulsive condition on whole axis. (6th July 2020)

• Record Type: Journal Article
• Authors: Bairamov, Elgiz; Solmaz, Şeyda
• Other Names: Tosun Murat guestEditor.; Kara Emrah Evren guestEditor.; Usta Fuat guestEditor.
• Is Part Of: Mathematical methods in the applied sciences. Volume 44:Number 9(2021)
• Page Start: 7732
• Page End: 7746
• Publication Date: 2020-07-06
• Subjects: differential equations -- Dirac system -- Jost solutions -- scattering matrix; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.6645
• Languages: English
• ISSNs: 0170-4214

Abstract

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.