Jost Solutions and Scattering Data for Impulsive Klein-Gordon S-Wave Equations
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, cilt.75, sa.3, ss.358-373, 2026 (ESCI, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 75 Sayı: 3
- Basım Tarihi: 2026
- Doi Numarası: 10.31801/cfsuasmas.1814903
- Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.358-373
- Anahtar Kelimeler: eigenvalue, impulsive condition, Klein-Gordon equation, scattering function
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this study, we consider the Klein–Gordon s-wave equation defined on the half line under impulsive condition and construct the corresponding differential operator. We then introduce the transfer matrices associated with the impulsive Klein–Gordon s-wave operator on the half line and employ them to analyze the scattering function and its analytic structure through an alternative operator-theoretic method. This approach enables a new characterization of the scattering behavior and establishes connections between the analytic properties of the transfer matrices and the spectral features of the operator. In the final part of the study, we construct the resolvent operator and examine its analytic structure.