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

Authors

  • Vjacheslav Yurko

DOI:

https://doi.org/10.5556/j.tkjm.46.2015.1754

Keywords:

Geometrical Graphs, Differential Operators, Inverse Spectral Problems

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.

Author Biography

Vjacheslav Yurko

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

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Published

2015-09-30

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

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Papers