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

• 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
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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...