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

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 e...

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Vydané v:	Mathematical modelling and analysis Ročník 28; číslo 2; s. 308 - 329
Hlavní autori:	Stikonas, Arturas, Sen, Erdogan
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Vilnius Vilnius Gediminas Technical University 21.03.2023
Predmet:	Asymptotic series asymptotics of eigenvalues and eigenfunctions Boundary conditions Boundary value problems Dirichlet condition Dirichlet problem Eigenvalues Eigenvectors Investigations Liouville equations Mathematical functions Sturm–Liouville problem two-point nonlocal conditions asymptotics of eigenvalues and eigenfunctions Sturm–Liouville problem Dirichlet condition two-point nonlocal conditions
ISSN:	1392-6292, 1648-3510
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Popis
Shrnutí:	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.
Bibliografia:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14
ISSN:	1392-6292 1648-3510
DOI:	10.3846/mma.2023.17617