Investigation of a discrete Sturm–Liouville problem with two-point nonlocal boundary condition and natural approximation of a derivative in boundary condition

The article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on parameters in nonlocal boun...

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Published inMathematical modelling and analysis Vol. 29; no. 2; pp. 309 - 330
Main Authors Bingele, Kristina, Stikonas, Arturas
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 26.03.2024
Subjects
Analysis
Applied mathematics
Approximation
Approximation theory
Boundary conditions
Boundary value problems
Characteristic functions
Critical point
Differential equations, Linear
discrete Sturm–Liouville problem
Eigenvalues
Investigations
Methods
natural condition
nonlocal two-point condition
spectrum curves
Tests, problems and exercises
Lithuania
discrete Sturm–Liouville problem
natural condition
spectrum curves
nonlocal two-point condition
Online AccessGet full text
ISSN1392-6292
1648-3510
1648-3510
DOI10.3846/mma.2024.19829

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Abstract The article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on parameters in nonlocal boundary condition. Properties of the Spectrum Curves are formulated and illustrated in figures.
AbstractList The article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on parameters in nonlocal boundary condition. Properties of the Spectrum Curves are formulated and illustrated in figures.
The article investigates a discrete Sturm--Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze zeroes, poles and critical points of the characteristic function and how the properties of this function depend on parameters in nonlocal boundary condition. Properties of the Spectrum Curves are formulated and illustrated in figures. Keywords: discrete Sturm--Liouville problem, natural condition, nonlocal two-point condition, spectrum curves. AMS Subject Classification: 34B24; 34B10.
Audience Academic
Author Štikonas, Artūras
Bingelė, Kristina
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10.15388/NA.2008.13.4.14552
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natural condition
spectrum curves
nonlocal two-point condition
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Snippet The article investigates a discrete Sturm–Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze...
The article investigates a discrete Sturm--Liouville problem with one natural boundary condition and another nonlocal two-point boundary condition. We analyze...
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StartPage 309
SubjectTerms Analysis
Applied mathematics
Approximation
Approximation theory
Boundary conditions
Boundary value problems
Characteristic functions
Critical point
Differential equations, Linear
discrete Sturm–Liouville problem
Eigenvalues
Investigations
Methods
natural condition
nonlocal two-point condition
spectrum curves
Tests, problems and exercises
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Title Investigation of a discrete Sturm–Liouville problem with two-point nonlocal boundary condition and natural approximation of a derivative in boundary condition
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