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.
@article{1528, title = {Recovering Higher-order Differential Operators on Star-type Graphs from Spectra}, journal = {CUBO, A Mathematical Journal}, volume = {10}, year = {2008}, language = {en}, url = {http://dml.mathdoc.fr/item/1528} }
Yurko, Vjacheslav A. Recovering Higher-order Differential Operators on Star-type Graphs from Spectra. CUBO, A Mathematical Journal, Tome 10 (2008) . http://gdmltest.u-ga.fr/item/1528/