Work

Inverse Scattering Problem for Sturm-Liouville Operator with Discontinuity Conditions on the Positive Half Line

Year: 2021

Type: article

Abstract: In this paper, we consider the inverse scattering problem for Sturm-Liouville operator with discontinuity conditions at some point on the positive half line. The scattering data of this boundary value problem is examined. The resolvent operator is constructed and the expansion formula with respect to the eigenfunctions of this boundary value problem is obtained. The main equation or modified Marchenko equation of the inverse scattering problem is derived and an algorithm of the construction of the potential function according to scattering data of this boundary value problem is given.

Source: International Journal of Pure and Applied Sciences

DOI: 10.29132/ijpas.908009

Author: Özge AKÇAY

Institution: Munzur University

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W3205367103

FWCI:

Cites: 15

Cited by: 1

Related to: 10