Inverse scattering on the line for the matrix Sturm-Liouville equation
Natalia Bondarenko
TL;DR
This paper investigates the inverse scattering problem for the matrix Sturm-Liouville equation on the line, establishing conditions for the scattering data to be valid and complete.
Contribution
It provides necessary and sufficient conditions for the scattering data in the inverse problem of the matrix Sturm-Liouville equation.
Findings
Derived necessary and sufficient conditions for scattering data.
Characterized the inverse scattering problem on the line.
Contributed to the theoretical understanding of matrix Sturm-Liouville equations.
Abstract
The inverse scattering problem is studied for the matrix Sturm-Liouville equation on the line. Necessary and sufficient conditions for the scattering data are obtained.
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