On the Basis Property of the Root Functions of Sturm-Liouville Operators with General Regular Boundary Conditions

Autor:	Nur, Cemile, Veliev, O. A.
Rok vydání:	2013
Předmět:	Mathematics - Spectral Theory
Druh dokumentu:	Working Paper
Popis:	We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators with general regular boundary conditions. Using these formulas, we find sufficient conditions on the potential q such that the root functions of these operators do not form a Riesz basis.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1306.1505 Zobrazit plný text záznamu View this record from Arxiv