We study the inverse spectral problem of reconstructing energy-dependent Sturm–Liouville
equations from their Dirichlet spectra and sequences of the norming constants. For the class …

In this paper, we investigate the Cauchy problem for the KB system in the class of rapidly
decreasing functions and give an algorithm of the constructing a solution to the Cauchy …

Wave propagation in a one-dimensional nonconservative medium is described, in the
frequency domain, by the generalized Schrödinger equation k, x k2 k, x ikP x Q xk, x, x R, 1.1 …

In this paper we study the inverse spectral problem of reconstructing energy-dependent
Sturm–Liouville equations from two spectra. We give a reconstruction algorithm and …

In this article we study the inverse scattering problem for the generalized 1-D Schrödinger
equation, k, x k2 m2 k, x ikP x Q xk, x, x R, 1.1 where the prime denotes the derivative with …

We consider an inverse scattering problem for Schrödinger operators with energy-
dependent potentials. The inverse problem is formulated as a Riemann-Hilbert problem on a …

In this paper, we study the inverse scattering problem for energy-dependent Schrödinger
equations on the half-line with energy-dependent boundary conditions at the origin. Under …

The inverse scattering problem arising in wave propagation in one-dimensional non-
conservative media is analyzed. This is done in the frequency domain by considering the …

We consider Schrödinger equations with energy-dependent potentials that are compactly
supported on the half-line. We first provide estimates of the number of eigenvalues and …

We develop a reflectionless inverse scattering theory regarding an energy-dependent
Schrödinger equation. A necessary and sufficient condition for scattering data to recover a …