Determination of a differential pencil from interior spectral data
Determination of a differential pencil from interior spectral data
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DOI：
10.1016/j.jmaa.2010.09.011
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发表时间：
2011-03
影响因子：
1.3
通讯作者：
Chuan-Fu Yang;Yong Guo
中科院分区：
文献类型：
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作者：
Chuan-Fu Yang;Yong Guo
In this paper, inverse spectra problems for a differential pencil are studied. By using the approach similar to those in Hochstadt and Lieberman (1978) [14] and Ramm (2000) [26], we prove that (1) if p(x) (or q(x)) is full given on the interval [0,π], then a set of values of eigenfunctions at the mid-point of the interval [0,π] and one spectrum suffice to determine q(x) (or p(x)) on the interval [0,π] and all parameters in the boundary conditions; (2) if p(x) (or q(x)) is full given on the interval [0,π], then some information on eigenfunctions at some internal point b∈(π2,π) and parts of two spectra suffice to determine q(x) (or p(x)) on the interval [0,π] and all parameters in the boundary conditions.
