Incomplete Inverse Spectral and Nodal Problems for Differential Pencils

نویسنده

  • S. A. Buterin
چکیده

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. Mathematics Subject Classification (2000). 34A55, 34B24, 47E05.

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تاریخ انتشار 2012