Abstract
Recent results of Hald and McLaughlin concerning the inverse problem for the regular Sturm - Liouville problem on a finite interval are extended to the case in which the boundary conditions are eigenparameter dependent. Specifically, we show that the potential and the `asymptotic' boundary conditions in such a problem are uniquely determined by a dense set of nodal points of eigenfunctions. We also simplify the proofs given by Hald and McLaughlin.
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