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

Vjacheslav A. Yurko

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

Authors

Vjacheslav A. Yurko Department of Mathematics, Saratov University Astrakhanskaya 83, Saratov 410026, Russia.

Keywords:

Differential equations, Geometrical graphs, Spectral characteristics, Inverse problems, Method of spectral mappings

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.