Asymptotic analysis of Sturm-Liouville problem with Dirichlet and nonlocal two-point boundary conditions

Autor:	Artūras Štikonas, Erdoğan Şen
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Sturm–Liouville problem Dirichlet condition two-point nonlocal conditions asymptotics of eigenvalues and eigenfunctions Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 28, Iss 2 (2023)
Druh dokumentu:	article
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2023.17617
Popis:	In this study, we obtain asymptotic expansions for eigenvalues and eigenfunctions of the one–dimensional Sturm–Liouville equation with one classical Dirichlet type boundary condition and two-point nonlocal boundary condition. We analyze the characteristic equation of the boundary value problem for eigenvalues and derive asymptotic expansions of arbitrary order. We apply the obtained results to the problem with two-point nonlocal boundary condition.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/30e77e89585c4981a9cf0b56f053c385 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF