Wang, Yu Ping2022-07-272022-07-272017-09-20Wang, Y. P. (2017). Uniqueness theorems for Sturm-Liouville operators with interior twin-dense nodal set. Electronic Journal of Differential Equations, 2017(226), pp. 1-11.1072-6691https://hdl.handle.net/10877/15995We study Inverse problems for the Sturm-Liouville operator with Robin boundary conditions. We establish two uniqueness theorems from the twin-dense nodal subset Ws ([1-ɛ/2, 1/2]), 0 < ɛ ≤ 1, together with parts of either one spectrum, or the minimal nodal subset {x1n}∞n=1 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 Ws ([1-ɛ/2, 1/2]) for any S and arbitrarily small ɛ.Text11 pages1 file (.pdf)enAttribution 4.0 InternationalUniqueness theoremInverse nodal problemPotentialSturm-Liouville operatorThe interior twin-dense nodal subsetArticle