SCATTERING PROBLEM OF THE PERTURBED AIRY EQUATION ON A HALF-AXIS

DOI10.30546/2409-4994.2023.49.2.268zbMath1529.34016OpenAlexW4389253798MaRDI QIDQ6185515

Hidayat M. Huseynov, A. F. Mamedova

Publication date: 29 January 2024

Published in: Proceedings of the Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30546/2409-4994.2023.49.2.268

zbMATH Keywords

inverse problemscattering functionAiry equationSchrödinger equation transformation operator

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Inverse problems involving ordinary differential equations (34A55)

Cites Work

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• An inverse problem of scattering theory for the perturbed Stark operator on the semiaxis
• The inverse scattering problem of quantum theory
• Resonances for 1D Stark operators
• Inverse scattering problem for the Schrödinger equation with an additional quadratic potential on the entire axis
• Inverse spectral problem for the Schrödinger equation with an additional linear potential
• Spectral properties of the complex Airy operator on the half-line
• The inverse problem for perturbed harmonic oscillator on the half-line with a Dirichlet boundary condition
• A Riemann–Hilbert approach to the inverse problem for the Stark operator on the line