Abstract
We prove uniqueness theorems for so-called half inverse spectral problem (and also for some its modification) for second order differential pencils on a finite interval with Robin boundary conditions. Using the obtained result we show that for unique determination of the pencil it is sufficient to specify the nodal points only on a part of the interval slightly exceeding its half.
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Buterin, S.A., Shieh, CT. Incomplete Inverse Spectral and Nodal Problems for Differential Pencils. Results. Math. 62, 167–179 (2012). https://doi.org/10.1007/s00025-011-0137-6
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DOI: https://doi.org/10.1007/s00025-011-0137-6