Inverse problems for higher order differential systems with regular singularities on star-type graphs

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Published: Sep 30, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1754
Keywords:
Geometrical Graphs Differential Operators Inverse Spectral Problems

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Vjacheslav Yurko

Abstract

We study an inverse spectral problem for arbitrary order ordinary differential equations on compact star-type graphs when differential equations have regular singularities at boundary vertices. As the main spectral characteristics we introduce and study the so-called Weyl-type matrices which are generalizations of the Weyl function (m-function) for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem and prove its uniqueness.

Article Details

How to Cite
Yurko, V. (2015). Inverse problems for higher order differential systems with regular singularities on star-type graphs. Tamkang Journal of Mathematics, 46(3), 257–268. https://doi.org/10.5556/j.tkjm.46.2015.1754
Issue
Vol. 46 No. 3 (2015)
Section
Papers
Author Biography

Vjacheslav Yurko

Department ofMathematics, Saratov State University, Astrakhanskaya 83, Saratov 410012, Russia.

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