Scattering Function and The Resolvent of The Impulsive Boundary Value Problem

Year 2021, Volume: 34 Issue: 4, 1077 - 1087, 01.12.2021

Elgiz Bayram , Güler Başak Öznur

https://doi.org/10.35378/gujs.796894

Abstract

The purpose of this study is to examine the properties of scattering solutions and the scattering function of an impulsive Sturm-Liouville boundary value problem on the semi axis. By using Jost solutions, we obtain the scattering function, asymptotic representation of Jost function and resolvent operator. Finally, we study scattering solutions and scattering function of an unperturbated impulsive equation.

Keywords

Boundary value problem, Density function, Impulsive condition, Resolvent operator, Spectral parameter

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