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

Authors

HALİT TAŞ
YELDA AYGAR KÜÇÜKEVCİLİOĞLU
ELGİZ BAYRAM

DOI

10.55730/1300-0098.3390

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.

Keywords

Klein-Gordon equation, eigenvalue, scattering function, scattering solution

First Page

721

Last Page

731

Recommended Citation

TAŞ, HALİT; KÜÇÜKEVCİLİOĞLU, YELDA AYGAR; and BAYRAM, ELGİZ (2023) "Scattering solutions and scattering function of a Klein-Gordon s-wave equation with jump conditions," Turkish Journal of Mathematics: Vol. 47: No. 2, Article 22. https://doi.org/10.55730/1300-0098.3390
Available at: https://journals.tubitak.gov.tr/math/vol47/iss2/22