z-logo
open-access-imgOpen Access
Investigation 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.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.
Having issues? You can contact us here
Accelerating Research

Address

John Eccles House
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom