Abstract
The paper investigates spectral properties of multi-interval Sturm-Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions
and also all generalized resolvents in terms of boundary conditions are given.
Key words: Sturm-Liouville operator; multi-interval boundary value problem; distributional coefficients; self-adjoint extension; maximal dissipative extension.
Full Text
Article Information
| Title | Multi-interval Sturm-Liouville problems with distributional coefficients |
| Source | Methods Funct. Anal. Topology, Vol. 26 (2020), no. 2, 103-110 |
| DOI | 10.31392/MFAT-npu26_2.2020.02 |
| MathSciNet |
MR4127607 |
| Milestones | Received 09.06.2020 |
| Copyright | The Author(s) 2020 (CC BY-SA) |
Authors Information
Andrii Goriunov
Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine
Citation Example
Andrii Goriunov, Multi-interval Sturm-Liouville problems with distributional coefficients, Methods Funct. Anal. Topology 26
(2020), no. 2, 103-110.
BibTex
@article {MFAT1342,
AUTHOR = {Andrii Goriunov},
TITLE = {Multi-interval Sturm-Liouville problems with distributional coefficients},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {26},
YEAR = {2020},
NUMBER = {2},
PAGES = {103-110},
ISSN = {1029-3531},
MRNUMBER = {MR4127607},
DOI = {10.31392/MFAT-npu26_2.2020.02},
URL = {http://mfat.imath.kiev.ua/article/?id=1342},
}
