Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition

Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition

In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition. We investigate how the spectrum of this problem depends on the parameters γ and ξ  of the nonlocal boundary condition. Some new r...

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Bibliographic Details
Main Authors: Kristina Skučaitė-Bingelė, Artūras Štikonas
Format: Article
Language:English
Published: Vilnius University Press 2013-12-01
Series:Lietuvos Matematikos Rinkinys
Subjects:
two-point Nonlocal Boundary Condition
Sturm–Liouville problem,
complex eigenvalues
Online Access:https://www.journals.vu.lt/LMR/article/view/14905
Description
Summary:In this paper, we analyze the Sturm–Liouville problem with one classical first type boundary condition and the other Samarskii–Bitsadze type nonlocal boundary condition. We investigate how the spectrum of this problem depends on the parameters γ and ξ  of the nonlocal boundary condition. Some new results are given as graphs of the characteristic function.
ISSN:0132-2818
2335-898X

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