Investigation of a Discrete Sturm-Liouville Problem with Two-Point Nonlocal Boundary Condition and Natural Approximation of a Derivative in Boundary Condition

被引：2

作者：

Bingele, Kristina ^{[1
]}

Stikonas, Arturas ^{[2
]}

机构：

[1] Vilnius Gediminas Tech Univ, Sauletekio Al 11, LT-10223 Vilnius, Lithuania

[2] Vilnius Univ, Inst Appl Math, Naugarduko G 24, LT-03225 Vilnius, Lithuania

来源：

MATHEMATICAL MODELLING AND ANALYSIS | 2024年 / 29卷 / 02期

关键词：

discrete Sturm-Liouville problem; natural condition; nonlocal two-point con- dition; spectrum curves; FINITE-DIFFERENCE SCHEMES; EIGENVALUES; STABILITY; EQUATION;

D O I：

10.3846/mma.2024.19829

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：309 / 330

页数：22

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