Investigation of complex eigenvalues for a stationary problem with two-point 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 2011-12-22
https://doi.org/10.15388/LMR.2011.sm04
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Keywords

complex eigenvalues
two-point Nonlocal Boundary Condition
Finite-Diference Scheme

How to Cite

Skučaitė-Bingelė K. and Štikonas A. (2011) “Investigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition”, Lietuvos matematikos rinkinys, 52(proc. LMS), pp. 303-308. doi: 10.15388/LMR.2011.sm04.

Abstract

The Sturm–Liouville problem with one classical and another two-point nonlocal boundary condition is considered in this paper. These problems with nonlocal boundary condition are not self-adjoint, so the spectrum has complex points. We investigate how the spectrum in the complex plane of these problems (and for the Finite-Difference Schemes) depends on parameters γ  and ξ  of the nonlocal boundary conditions.

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