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

Khanmamedov A. K., Mamedova A.

MATHEMATICAL NOTES, vol.112, no.1-2, pp.281-285, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 112 Issue: 1-2
  • Publication Date: 2022
  • Doi Number: 10.1134/s0001434622070306
  • Journal Name: MATHEMATICAL NOTES
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.281-285
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

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.