Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions

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Taş H., AYGAR KÜÇÜKEVCİLİOĞLU Y., BAYRAM E.

Turkish Journal of Mathematics, cilt.47, sa.2, ss.721-731, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 47 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.55730/1300-0098.3390
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.721-731
  • Anahtar Kelimeler: eigenvalue, Klein-Gordon equation, scattering function, scattering solution
  • Ankara Üniversitesi Adresli: Evet

Özet

In this work, we are interested in a boundary value problem (BVP) generated by a Klein -Gordon equation (KG) with Jump conditions and a boundary condition. First, we introduce scattering solutions and Jost solution of the problem. Then, we give the scattering function and we prove some properties of it. Lastly, we conclude the paper by a special example.