Inverse spectral problem for a star graph of Stieltjes strings with prescribed numbers of masses on the edges

• Date: 2021
• Main Authors: Pivovarchik, V., Dudko, A., V., Дудко, А., Пивоварчик, В.
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2021
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2398
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 519.177 Consider a spectral problem for a star graph of Stieltjes strings. At the central vertex the generalized Neumann conditions are imposed. All but one (called the root) pendant vertices of the graph are clamped. We consider two problems: (i) with the Neumann condition at the root (the Neum...