30 citations · 74 across the 10 of their papers we have counts for
6 papers · 1 filter
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…
On the local solvability and stability of the partial inverse problems for the non-self-adjoint Sturm-Liouville operators with a discontinuity
Xiao-Chuan Xu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko
In this work, we study the inverse spectral problems for the Sturm-Liouville operators on [0,1] with complex coefficients and a discontinuity at . Assume that the pote…
Local solvability and stability of the generalized inverse Robin-Regge problem with complex coefficients
Xiao-Chuan Xu, Natalia Pavlovna Bondarenko
We prove local solvability and stability of the inverse Robin-Regge problem in the general case, taking eigenvalue multiplicities into account. We develop the new approach based on…
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…
Estimates of complex eigenvalues and an inverse spectral problem for the transmission eigenvalue problem
Xiao-Chuan Xu, Chuan-Fu Yang, Sergey A. Buterin +1
This work deals with the interior transmission eigenvalue problem: with boundary conditions ${y\left( 0 \right) = 0 = y'\left( 1 \right)\frac{\s…