Abstract
We study an inverse spectral problem for arbitrary order ordinary differential equations on noncompact star-type graphs. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are a generalization of the Weyl function for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.
Full Text
Article Information
| Title | Recovering arbitrary order differential operators on noncompact star-type graphs |
| Source | Methods Funct. Anal. Topology, Vol. 18 (2012), no. 1, 90-100 |
| MathSciNet |
MR2953333 |
| zbMATH |
1249.34047 |
| Copyright | The Author(s) 2012 (CC BY-SA) |
Authors Information
V. Yurko
Department of Mathematics, Saratov University, 83 Astrakhanskaya, Saratov, 410012, Russia
Citation Example
V. Yurko, Recovering arbitrary order differential operators on noncompact star-type graphs, Methods Funct. Anal. Topology 18
(2012), no. 1, 90-100.
BibTex
@article {MFAT592,
AUTHOR = {Yurko, V.},
TITLE = {Recovering arbitrary order differential operators on noncompact star-type graphs},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {18},
YEAR = {2012},
NUMBER = {1},
PAGES = {90-100},
ISSN = {1029-3531},
MRNUMBER = {MR2953333},
ZBLNUMBER = {1249.34047},
URL = {http://mfat.imath.kiev.ua/article/?id=592},
}
