ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS

Name: ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS
Keywords: Eigenfunctions, asymptotics of eigenvalues and eigenfunctions, Spectrum Curves, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Dirichlet condition, QA1-939, Sturm–Liouville problemų, Eigenvalue Parameter, two-point nonlocal conditions, Sturm–Liouville problem

Štikonas, Artūras; Sen, Erdogan

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Article . 2023

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Mathematical Modelling and Analysis

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Mathematical Modelling and Analysis

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Article . 2023

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Article . 2023 . Peer-reviewed

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ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS

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

descriptionPublicationkeyboard_double_arrow_right Article 21 Mar 2023Publisher:Vilnius Gediminas Technical UniversityJournal:Mathematical Modelling and Analysis, volume 28, pages 308-329 (issn: 1392-6292, eissn: 1648-3510,

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Authors: Štikonas, Artūras; Sen, Erdogan;

doi: 10.3846/mma.2023.17617

handle: 20.500.11776/11972

ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS

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Abstract

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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Vilnius University
Lithuania
Namık Kemal University
Turkey

Keywords

Eigenfunctions, asymptotics of eigenvalues and eigenfunctions, Spectrum Curves, Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions for ordinary differential operators, Dirichlet condition, QA1-939, Sturm–Liouville problemų, Eigenvalue Parameter, two-point nonlocal conditions, Sturm–Liouville problem, Mathematics, Sturm-Liouville problem

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