INVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS-Reference-Cited by-同舟云学术

INVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS

Published:2020-01-13 Issue:1 Volume:25 Page:37-52
ISSN:1392-6292
Container-title:Mathematical Modelling and Analysis
language:
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Author:

Bingelė Kristina¹,Bankauskienė Agnė²,Štikonas Artūras¹^ORCID

Affiliation:

1. Institute of Applied Mathematics, Vilnius University, Naugarduko str. 24, LT-03225 Vilnius, Lithuania

2. Bioinformatics and Biostatistics Centre, Vilnius University, Santariškių str. 2, LT-08661 Vilnius, Lithuania

Abstract

The article investigates the Sturm–Liouville problem with one classical 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 for various values of parameter ξ.

Publisher

Vilnius Gediminas Technical University

Subject

Modeling and Simulation,Analysis

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3. On the eigenvalue problem for one-dimensional diﬀerential operator with nonlocal integral condition;R. Čiupaila;Nonlinear Anal. Model. Control,2004

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