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# Recovering arbitrary order differential operators on noncompact star-type graphs

### 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.

### 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},
}