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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Bibliographic Details
Published in:Mathematical modelling and analysis Vol. 28; no. 2; pp. 308 - 329
Main Authors: Stikonas, Arturas, Sen, Erdogan
Format: Journal Article
Language:English
Published: Vilnius Vilnius Gediminas Technical University 21.03.2023
Subjects:
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
Online Access:Get full text
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Summary: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.
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ISSN:1392-6292
1648-3510
DOI:10.3846/mma.2023.17617