Determination of differential pencils with impulse from interior spectral data
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Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on $[0,\pi ]$ [ 0 , π ] with an interior discontinuity. We prove that two potential functions are determined uniquely by one spectrum and a set of values of eigenfunctions at some interior point $b\in (0,\pi )$ b ∈ ( 0 , π ) in the situation of $b=\pi /2$ b = π / 2 and $b\neq \pi /2$ b ≠ π / 2 . For the latter, we need the knowledge of a part of the second spectrum.
2016 ◽
Vol 24
(9)
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pp. 1647-1660
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2006 ◽
Vol 49
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pp. 309-329
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2016 ◽
Vol 40
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pp. 3190-3196
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2018 ◽
Vol 462
(1)
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pp. 697-711
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2006 ◽
Vol 320
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pp. 439-463
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