Determination of differential pencils with impulse from interior spectral data
Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on [0,π] $[0,\pi ]$ 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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2019-09-01
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| Series: | Boundary Value Problems |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13661-019-1262-5 |
| Summary: | Abstract In this paper, we are concerned with the inverse spectral problems for differential pencils defined on [0,π] $[0,\pi ]$ 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∈(0,π) $b\in (0,\pi )$ in the situation of b=π/2 $b=\pi /2$ and b≠π/2 $b\neq \pi /2$. For the latter, we need the knowledge of a part of the second spectrum. |
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| ISSN: | 1687-2770 |