Spectrum curves for a discrete Sturm–Liouville problem with one integral boundary condition

Autor:	Kristina Bingelė, Agnė Bankauskienė, Artūras Štikonas
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Sturm–Liouville problem finite difference sheme nonlocal boundary condition complex eigenvalues spectrum curves Analysis QA299.6-433
Zdroj:	Nonlinear Analysis, Vol 24, Iss 5 (2019)
Druh dokumentu:	article
ISSN:	1392-5113 2335-8963 71331239
DOI:	10.15388/NA.2019.5.5
Popis:	This paper presents new results on the spectrum on complex plane for discrete Sturm–Liouville problem with one integral type nonlocal boundary condition depending on three parameters: γ, ξ1 and ξ2. The integral condition is approximated by the trapezoidal rule. The dependence on parameter γ is investigated by using characteristic function method and analysing spectrum curves which gives qualitative view of the spectrum for fixed ξ1 = m1 / n and ξ2 = m2 / n, where n is discretisation parameter. Some properties of the spectrum curves are formulated and illustrated in figures for various ξ1 and ξ2.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8d71331239bb444c90f0f674fdfe7371 Zobrazit plný text záznamu View record in DOAJ