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GENERALIZATIONS OF BORG'S UNIQUENESS THEOREM TO THE CASE OF NONSEPARATED BOUNDARY CONDITIONS
2012
unpublished
Inverse Sturm-Liouville problems and generalizations of Borg's uniqueness theorem to the case of general boundary conditions are considered. Chudov, Marchenko, Krein, Karaseva and authors' generalizations are adduced. New generalizations of Borg, Marchenko and Karaseva's uniqueness theorem to the case of nonsep-arated boundary conditions are obtained. Appropriate examples and counterexample are given.
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