Asymptotics of Solutions of Some Integral Equations Connected with Differential Systems with a Singularity

DOI10.18500/1816-9791-2020-20-1-17-28zbMath1463.45047OpenAlexW3012106418MaRDI QIDQ5122691

Mikhail Ignatiev

Publication date: 23 September 2020

Published in: Izvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/isu825

Mathematics Subject Classification ID

Asymptotics of solutions to integral equations (45M05) Scattering theory, inverse scattering involving ordinary differential operators (34L25)

Related Items (1)

Direct and inverse problems of spectral analysis for arbitrary-order differential operators with nonintegrable regular singularities

Cites Work

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• Singular Weyl-Titchmarsh-Kodaira theory for one-dimensional Dirac operators
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• Direct and inverse scattering transforms with arbitrary spectral singularities
• Reconstruction of radial Dirac operators
• Scattering and inverse scattering for first order systems
• Stokes phenomena
• On higher-order differential operators with a singular point
• Integral transforms connected with differential systems with a singularity.
• Inverse spectral problem for singular Ablowitz–Kaup–Newell–Segur operators on [0, 1]

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