Recovering Higher-order Differential Operators on Star-type Graphs from Spectra

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Abstract

We study an inverse problem of recovering arbitrary order ordinary differential operators on compact star-type graphs from a system of spectra. We establish properties of spectral characteristics, and provide a procedure for constructing the solution of the inverse problem of recovering coefficients of differential equations from the given spectra.

Keywords

Differential equations , Geometrical graphs , Spectral characteristics , Inverse problems , Method of spectral mappings
  • Vjacheslav A. Yurko Department of Mathematics, Saratov University Astrakhanskaya 83, Saratov 410026, Russia.
  • Pages: 93–102
  • Date Published: 2008-03-01
  • Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal

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Published

2008-03-01

How to Cite

[1]
V. A. Yurko, “Recovering Higher-order Differential Operators on Star-type Graphs from Spectra”, CUBO, vol. 10, no. 1, pp. 93–102, Mar. 2008.

Issue

Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal

Section

Articles