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

Published 13 Jan 2013 in math.SP | (1301.2764v2)

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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