Inverse spectral problem for the one-dimensional Stark operator on the half-axis

UDC 517.91 We consider the Stark operator $T=-\dfrac{d^{2}}{dx^{2}}+x+q\left(x\right)$ on the half-axis $0\le x<\infty $ with a Dirichlet boundary condition at zero. By using transformation operators, we study the direct and inverse spectral problems and obtain the main integral equation...

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Bibliographic Details
Date:2020
Main Authors: Latifova, A. R., Khanmamedov, A. Kh., Лятифова , А. Р., Ханмамедов, А. Х.
Format: Article
Language:Russian
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2302
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal