On inverse problem for tree of Stieltjes strings

Pracì Mìžnarodnogo Geometričnogo Centru

Vyacheslav Pivovarchik¹  Анастасія Ігорівна Дудко¹ 

[1] South Ukrainian National Pedagogical University named after K. D. Ushynsky;

关键词: neumann boundary condition, dirichlet boundary condition, balance of forces condition, eigenvalues, spectrum, stieltjes function.;   

DOI  :  10.15673/tmgc.v14i1.1783

来源: DOAJ

【 摘 要 】

For a given metric tree and two strictly interlacing sequences of numbers there exits a distribution of point masses on the edges (which are Stieltjes strings) such that one of the sequences is the spectrum of the   spectral problem  with the Neumann condition at the root of the tree while the second sequence is the spectrum of the   spectral problem with the Dirichlet condition at the root.

【 授权许可】

Unknown