A. Kh. Khanmamedov, A. F. Mamedova, “A Remark on the Inverse Scattering Problem for the Perturbed Hill Equation”, Mat. Zametki, 2022, Volume 112, Issue 2,Pages <nobr>263

This article is cited in 2 papers

A Remark on the Inverse Scattering Problem for the Perturbed Hill Equation

A. Kh. Khanmamedov^abc, A. F. Mamedova^d

^a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
^b Baku Engineering University
^c Azerbaijan University
^d Azerbaijan State Economic University

Abstract: The perturbed Hill equation in which the perturbed potential has finite first moment is considered. An integral equation for the kernel of a triangular representation of the Jost solution is studied. A sharper estimate of the derivative of the kernel is obtained.

Keywords: Hill equation, Jost solution, triangular representation, method of the Riemann function.

UDC: 517.9

Received: 21.01.2022
Revised: 19.03.2022

DOI: 10.4213/mzm13428