Open AccessINVESTIGATION OF SPECTRUM CURVES FOR A STURM-LIOUVILLE PROBLEM WITH TWO-POINT NONLOCAL BOUNDARY CONDITIONS
Author(s) -
Kristina Bingelė,
Agnė Bankauskienė,
Artūras Štikonas
Publication year - 2020
Publication title -
mathematical modelling and analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.491
H-Index - 25
eISSN - 1648-3510
pISSN - 1392-6292
DOI - 10.3846/mma.2020.10787
Subject(s) - spectrum (functional analysis) , sturm–liouville theory , mathematics , mathematical analysis , boundary value problem , boundary (topology) , function (biology) , point (geometry) , critical point (mathematics) , physics , geometry , quantum mechanics , evolutionary biology , biology
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.
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