An inverse problem for the quadratic pencil of non-self-adjoint matrix operators on the half-line

Abstract

We consider a pencil of non-self-adjoint matrix Sturm-Liouville operators on the half line and study the inverse problem of constructing this pencil by its Weyl matrix. A uniqueness theorem is proved, and a constructive algorithm for the solution is obtained.

arXiv commentSubmitted to the Journal of Inverse and Ill-Posed Problems