This paper presents a review of both classical and modern results pertaining to partial
inverse spectral problems for differential operators. Such problems consist in the recovery of …

J. Math. Anal. Appl. Inverse nodal and inverse spectral problems for discontinuous boundary
value problems Page 1 J. Math. Anal. Appl. 347 (2008) 266–272 Contents lists available at …

We present a new approach (distinct from Gel'fand-Levitan) to the theorem of Borg-
Marchenko that the m-function (equivalently, spectral measure) for a finite interval or half …

We study inverse spectral analysis for finite and semi-infinite Jacobi matrices H. Our results
include a new proof of the central result of the inverse theory (that the spectral measure …

We have given the inverse nodal problem for the fractional Sturm–Liouville (S–L) problem
and the stability for this problem. First of all, we have shown asymptotic forms for nodal …

The inverse spectral problem is solved for the class of Sturm–Liouville operators with
singular real-valued potentials from the space W 2− 1 (0, 1). The potential is recovered via …

ON THE INVERSE SPECTRAL THEORY OF SCHRODINGER AND DIRAC OPERATORS 1.
Introduction Consider the Schrödinger operator −y + q( Page 1 TRANSACTIONS OF THE …

The aim of this book is to give a modern presentation of the spectral and scattering theory for
Sturm–Liouville equations, including some results on inverse theory. We plan a second …

The half-inverse spectral problem for a Sturm–Liouville operator consists in reconstruction of
this operator from its spectrum and half of the potential. We give the necessary and sufficient …

In a recent paper, XF Yang proved a uniqueness theorem on inverse nodal problems that
links to inverse spectral theory, on one hand, and reduces the redundancy of the classical …