Incomplete Inverse Spectral and Nodal Problems for Differential Pencils |
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| Authors: | S A Buterin C-T Shieh |
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| Institution: | 1. Department of Mathematics, Saratov State University, Astrakhanskaya 83, Saratov, 410012, Russia
2. Department of Mathematics, Tamkang University, 151 Ying-chuan Road Tamsui, Taipei, 25137, Taiwan, ROC
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| 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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