Recovering arbitrary order differential operators on noncompact star-type graphs. (English) Zbl 1249.34047
The author considers an arbitrary order (in general, nonselfadjoint) differential operator on a star-type graph consisting of a finite collection of finite segments and a single ray, all of them coming out of a single vertice. As the main spectral characteristic, a Weyl type matrix is taken, generalizing the Weyl function of the classical Sturm-Liouville operator. An algorithm for constructing a solution of the inverse problem and a uniqueness theorem are given.
Reviewer: A. N. Kochubei (Kyïv)
MSC:
34A55 | Inverse problems involving ordinary differential equations |
34L05 | General spectral theory of ordinary differential operators |
47E05 | General theory of ordinary differential operators |
34B45 | Boundary value problems on graphs and networks for ordinary differential equations |
34B20 | Weyl theory and its generalizations for ordinary differential equations |