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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Vydáno v:Mathematical modelling and analysis Ročník 28; číslo 2; s. 308 - 329
Hlavní autoři: Stikonas, Arturas, Sen, Erdogan
Médium: Journal Article
Jazyk:angličtina
Vydáno: Vilnius Vilnius Gediminas Technical University 21.03.2023
Témata:
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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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.
Bibliografie: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