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Reconstruction of the Volterra-type integro-differential operator from nodal points

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In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from… Click to show full abstract

In this work, the Sturm–Liouville problem perturbated by a Volterra-type integro-differential operator is studied. We give a uniqueness theorem and an algorithm to reconstruct the potential of the problem from nodal points (zeros of eigenfunctions).

Keywords: differential operator; integro differential; type integro; volterra type; nodal points

Journal Title: Boundary Value Problems
Year Published: 2018

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