On the 'movement' of the zeros of eigenfunctions of the Sturm-Liouville problem

Autor:	Harutyunyan, Tigran, Pahlevanyan, Avetik, Ashrafyan, Yuri
Rok vydání:	2016
Předmět:	Mathematics - Spectral Theory Mathematics - Classical Analysis and ODEs 34B24 34C10
Zdroj:	Original Russian text published in Proceedings of Artsakh State University, no. 1(27), (2013): 12-20
Druh dokumentu:	Working Paper
Popis:	We study the dependence of the zeros of eigenfunctions of Sturm-Liouville problem on the parameters that define the boundary conditions. As a corollary, we obtain Sturm oscillation theorem, which states that the $n$-th eigenfunction has $n$ zeros. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1608.04246 Zobrazit plný text záznamu View this record from Arxiv