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

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.

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Bibliographic Details
Published inMathematical Notes Vol. 112; no. 1-2; pp. 281 - 285
Main Authors Khanmamedov, A. Kh, Mamedova, A. F.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.08.2022
Springer Nature B.V
Subjects
14/34
639/766/189
639/766/530
639/766/747
Integral equations
Inverse scattering
Kernels
Mathematics
Mathematics and Statistics
method of the Riemann function
Hill equation
Jost solution
triangular representation
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Summary: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.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434622070306