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, vol.47, no.2, pp.721-731, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 47 Issue: 2
  • Publication Date: 2023
  • Doi Number: 10.55730/1300-0098.3390
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.721-731
  • Keywords: eigenvalue, Klein-Gordon equation, scattering function, scattering solution
  • Open Archive Collection: AVESIS Open Access Collection
  • Ankara University Affiliated: Yes

Abstract

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.