Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition
Articles
Kristina Skučaitė-Bingelė
Vilnius University
https://orcid.org/0000-0002-8420-0477
Artūras Štikonas
Vilnius University
http://orcid.org/0000-0002-5872-5501
Published 2013-12-15
https://doi.org/10.15388/LMR.a.2013.16
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Keywords

two-point Nonlocal Boundary Condition
Sturm–Liouville problem,
complex eigenvalues

How to Cite

Skučaitė-Bingelė K. and Štikonas A. (2013) “Investigation of the spectrum for Sturm–Liouville problems with a nonlocal boundary condition”, Lietuvos matematikos rinkinys, 54(A), pp. 73-78. doi: 10.15388/LMR.a.2013.16.

Abstract

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.

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