Special Session 75: Differential and difference equations on graphs and their applications
We study inverse spectral problems for ordinary differential equations on compact
star-type graphs when differential equations have different orders on diferent edges.
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.