One Remark on the Transformation Operator for Perturbed Hill Operators

Khanmamedov A. K., Mamedova A. F.

AZERBAIJAN JOURNAL OF MATHEMATICS, vol.12, no.1, pp.211-214, 2022 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 12 Issue: 1
  • Publication Date: 2022
  • Journal Name: AZERBAIJAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH
  • Page Numbers: pp.211-214
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

The transformation operator for the perturbed Hill operators is considered. An error is indicated in the proof of the previously proved theorem on the triangular representation of the solution of the perturbed Hill equation. A method for eliminating this disadvantage for a special periodic potential is proposed.