Open AccessInvestigation of complex eigenvalues for a stationary problem with two-point nonlocal boundary condition
Author(s) -
Kristina Skučaitė-Bingelė,
Artūras Štikonas
Publication year - 2011
Publication title -
lietuvos matematikos rinkinys
Language(s) - English
Resource type - Journals
eISSN - 2335-898X
pISSN - 0132-2818
DOI - 10.15388/lmr.2011.sm04
Subject(s) - spectrum (functional analysis) , eigenvalues and eigenvectors , mathematics , boundary value problem , mathematical analysis , boundary (topology) , point (geometry) , complex plane , plane (geometry) , mixed boundary condition , physics , geometry , quantum mechanics
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.