30 citations · 30 across the 2 of their papers we have counts for
5 papers
Direct and inverse spectral problems for the Schrodinger operator with double generalized Regge boundary conditions
Xiao-Chuan Xu, Yu-Ting Huang
In this paper, we study the direct and inverse spectral problems for the Schrodinger operator with two generalized Regge boundary conditions. For the direct problem, we give the pr…
An inverse problem for the matrix Schrodinger operator on the half-line with a general boundary condition
Xiao-Chuan Xu, Yi-Jun Pan
In this work, we study the inverse spectral problem, using the Weyl matrix as the input data, for the matrix Schrodinger operator on the half-line with the boundary condition being…
An inverse problem to determine the shape of a human vocal tract
Tuncay Aktosun, Paul Sacks, Xiao-Chuan Xu
The inverse problem of determining the cross-sectional area of a human vocal tract during the utterance of a vowel is considered. The frequency-dependent boundary condition at the…
On the direct and inverse transmission eigenvalue problems for the Schrodinger operator on the half line
Xiao-Chuan Xu
For the direct problem, we give the asymptotic distribution of the (real and non-real) transmission eigenvalues for the Schrodinger operator on the half line. For the inverse probl…
Inverse spectral problems for the Sturm-Liouville operator with discontinuity
Xiao-Chuan Xu, Chuan-Fu Yang
In this work, we consider the Sturm-Liouville operator on a finite interval with discontinuous conditions at . We prove that if the potential is known a priori on a su…