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Inverse nodal problems for Dirac-type integro-differential operators (1606.08985v1)
Published 29 Jun 2016 in math.SP
Abstract: The inverse nodal problem for Dirac differential operator perturbated by a Volterra integral operator is studied. We prove that dense subset of the nodal points determines the coefficients of differential and integral part of the operator. We also provide a uniqueness theorem and an algorithm to reconstruct the coefficients of the problem by using the nodal points.
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