Use this url to cite publication: https://hdl.handle.net/20.500.12259/44304
Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions
Type of publication
Straipsnis kitoje duomenų bazėje / Article in other database (S4)
Author(s)
| Author | Affiliation | |
|---|---|---|
LT | ||
Štikonas, Artūras | Matematikos ir informatikos institutas, arturas.stikonas@fm.vtu.lt | LT |
Title
Sturm-Liouville Problem for Stationary Differential Operator with Nonlocal Two-Point Boundary Conditions
Is part of
Nonlinear Analysis: Modelling and Control. Vilnius : Institute of Mathematics and Informatics., Vol. 11, no. 1 (2006)
Date Issued
| Date |
|---|
2006 |
Publisher
Vilnius : Institute of Mathematics and Informatics
Extent
p. 47–78
Abstract (en)
The Sturm-Liouville problem with various types of two-point boundary conditions is considered in this paper. In the first part of the paper, we investigate the Sturm-Liouville problem in three cases of nonlocal two-point boundary conditions. We prove general properties of the eigenfunctions and eigenvalues for such a problem in the complex case. In the second part, we investigate the case of real eigenvalues. It is analyzed how the spectrum of these problems depends on the boundary condition parameters. Qualitative behavior of all eigenvalues subject to the nonlocal boundary condition parameters is described.
Type of document
type::text::journal::journal article::research article
Language
Anglų / English (en)
Coverage Spatial
Lietuva / Lithuania (LT)
ISSN (of the container)
1392-5113
Other Identifier(s)
VDU02-000003038