Yu Ping Wang
We study Inverse problems for the Sturm-Liouville operator with Robin boundary conditions. We establish two uniqueness theorems from the twin-dense nodal subset , , together with parts of either one spectrum, or the minimal nodal subset on the interval [0,1/2]. In particular, if one spectrum is given a priori, then the potential q on the whole interval [0,1] can be uniquely determined by for any S and arbitrarily small .
Submitted September 19, 2016. Published September 20, 2017.
Math Subject Classifications: 34A55, 34B24, 47E05.
Key Words: Uniqueness theorem; inverse nodal problem; potential; Sturm-Liouville operator; the interior twin-dense nodal subset.
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| Yu Ping Wang |
Department of Applied Mathematics
Nanjing Forestry University
Nanjing, Jiangsu 210037, China
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