30 citations · 66 across the 16 of their papers we have counts for
16 papers
Inverse spectral problem for the Schrödinger operator on the square lattice
Dongjie Wu, Chuan-Fu Yang, Natalia Pavlovna Bondarenko
We consider an inverse spectral problem on a quantum graph associated with the square lattice. Assuming that the potentials on the edges are compactly supported and symmetric, we s…
Ambarzumyan-type theorem for the Sturm-Liouville operator on the lasso graph
Feng Wang, Chuan-Fu Yang
We consider the Sturm-Liouville operator on the lasso graph with a segment and a loop joined at one point, which has arbitrary length. The Ambarzumyan's theorem for the operator is…
Inverse problems for Dirac operators with a constant delay less than half of the interval
Feng Wang, Chuan-Fu Yang
In this work, we consider Dirac-type operators with a constant delay less than half of the interval and not less than two-fifths of the interval. For our considered Dirac-type oper…
Ambarzumyan-type theorem for vectorial Sturm-Liouville operator with impulses
Feng Wang, Chuan-Fu Yang
We consider the vector-impulsive Sturm-Liouville problem with Neumann conditions. The Ambarzumyans theorem for the problem is proved, which states that if the eigenv…
Incomplete inverse problem for Dirac operator with constant delay
Feng Wang, Chuan-Fu Yang
In this work, we consider Dirac-type operators with a constant delay less than two-fifths of the interval and not less than one-third of the interval. For our considered Dirac-type…
Solving Barcilon's inverse problems by the method of spectral mappings
Aiwei Guan, Chuanfu Yang, Natalia P. Bondarenko
In this paper, we consider Barcilon's inverse problem, which consists of the recovery of the fourth-order differential operator from three spectra. We obtain the relationship of Ba…
Local solvability and stability of inverse problems for Sturm-Liouville operators with a discontinuity
Chuan-Fu Yang, Natalia P. Bondarenko
Partial inverse problems are studied for Sturm-Liouville operators with a discontinuity. The main results of the paper are local solvability and stability of the considered inverse…
Reconstruction and Solvability for Discontinuous Hochstadt-Lieberman Problems
Chuan-Fu Yang, Natalia Bondarenko
We consider Sturm-Liouville problems with a discontinuity in an interior point, which are motivated by the inverse problems for the torsional modes of the Earth. We assume that the…
A partial inverse problem for the Sturm-Liouville operator on the graph with a loop
Chuan-Fu Yang, Natalia P. Bondarenko
The Sturm-Liouville operator with singular potentials on the lasso graph is considered. We suppose that the potential is known a priori on the boundary edge, and recover the potent…
Determination of matrix potential from scattering matrix
Xiao-Chuan Xu, Chuan-Fu Yang
(i) For the matrix Schrödinger operator on the half line, it is shown that if the potential exponentially decreases fast enough then only the scattering matrix uniquely determines…
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…
Inverse resonance problems for the Schroedinger operator on the real line with mixed given data
Xiao-Chuan Xu, Chuan-Fu Yang
In this work, we study inverse resonance problems for the Schrödinger operator on the real line with the potential supported in . In general, all eigenvalues and resonances…
Recovering Nonlocal Differential Pencils
Chuan-Fu Yang, Vjacheslav Yurko
Inverse problems for differential pencils with nonlocal conditions are investigated. Several uniqueness theorems of inverse problems from the Weyl-type function and spectra are pro…
Recovering Dirac Operator with Nonlocal Boundary Conditions
Chuan-Fu Yang, Vjacheslav Yurko
In this paper inverse problems for Dirac operator with nonlocal conditions are considered. Uniqueness theorems of inverse problems from the Weyl-type function and spectra are provi…
Recovering Differential Operators with Nonlocal Boundary Conditions
Vjacheslav Yurko, Chuan-Fu Yang
Inverse spectral problems for Sturm-Liouville operators with nonlocal boundary conditions are studied. As the main spectral characteristics we introduce the so-called Weyl-type fun…