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

preprint2013arXivOpen access

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.

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