Continuity of the scattering function and Levinson type formula for Klein-Gordon s-wave equation with boundary conditon depends on spectral parameter

Arpat E.K., Koprubasi T.Arpat, EK, Koprubasi, T2023-05-082023-05-082023-01-012023.01.010354-5180https://hdl.handle.net/20.500.12597/11823In this article, we consider inverse problem of scattering theory for Klein-Gordon s-wave equation with boundary condition depends on spectral parameter. We define the scattering data and we also prove that the continuity of the scattering function discussing the scattering solutions. Furthermore, we obtain Levinson type formula.falseInverse problem | Levinson formula | Scattering data | Scattering theoryContinuity of the scattering function and Levinson type formula for Klein-Gordon s-wave equation with boundary conditon depends on spectral parameterContinuity of the scattering function and Levinson type formula for Klein-Gordon s-wave equation with boundary conditon depends on spectral parameterArticle10.2298/FIL2320781A10.2298/FIL2320781A2-s2.0-85151942463WOS:0009554402000016781679137