Filomat 2023 Volume 37, Issue 20, Pages: 6781-6791
https://doi.org/10.2298/FIL2320781A
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Continuity of the scattering function and Levinson type formula for Klein-Gordon s-wave equation with boundary conditon depends on spectral parameter
Kir Arpat Esra (Department of Mathematics, Gazi University, Ankara, Turkey), esrakir@gazi.edu.tr
Koprubasi Turhan (Department of Mathematics, Kastamonu University, Kastamonu, Turkey), tkoprubasi@kastamonu.edu.tr
In 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.
Keywords: Scattering theory, Inverse problem, Scattering data, Levinson formula
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