Inverse spectral problems for arbitrary order differential operators on noncompact trees

We study inverse spectral problems for arbitrary order ordinary differential equations on noncompact trees. As the main spectral characteristics we introduce and investigate the so-called Weyl matrices which are a generalization of the Weyl function for the classical Sturm-Liouville operator. We provide a procedure for constructing the solution of the inverse problem from the Weyl matrices and prove its uniqueness.