Scattering Function and The Resolvent of The Impulsive Boundary Value Problem

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Bairamov E., ÖZNUR G. B.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.34, sa.4, ss.1077-1087, 2021 (ESCI) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.35378/gujs.796894
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Compendex, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1077-1087
  • Anahtar Kelimeler: Boundary value problem, Density function, Impulsive condition, Resolvent operator, Spectral parameter
  • Ankara Üniversitesi Adresli: Evet

Özet

The purpose of this study is to examine the properties of scattering solutions and the scattering function of an impulsive Sturm-Liouville boundary value problem on the semi axis. By using Jost solutions, we obtain the scattering function, asymptotic representation of Jost function and resolvent operator. Finally, we study scattering solutions and scattering function of an unperturbated impulsive equation.