20 citations · 39 across the 7 of their papers we have counts for
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Inverse problems with a general transfer condition
Sonja Currie, Marlena Nowaczyk, Bruce A. Watson
We consider a Sturm-Liouville operator on a finite interval as well as a scattering problem on the real line both with transfer conditions at the origin. On a finite interval we sh…
Sturm-Liouville problems with transfer condition Herglotz dependent on the eigenparameter -- Hilbert space formulation
Casey A. Bartels, Sonja Currie, Marlena Nowaczyk +1
We consider a Sturm-Liouville equation on the intervals and with and . We impose boundary conditions $y(-a)\cosα=…
Indefinite boundary value problems on graphs
Sonja Currie, Bruce Alastair Watson
We consider the spectral structure of indefinite second order boundary-value problems on graphs. A variational formulation for such boundary-value problems on graphs is given and w…
Inverse scattering on the line with a transfer condition
Sonja Currie, Marlena Nowaczyk, Bruce Alastair Watson
The inverse scattering problem for Sturm-Liouville operators on the line with a matrix transfer condition at the origin is considered. We show that the transfer matrix can be recon…
Canonical systems in with periodic potentials and vanishing instability intervals
Sonja Currie, Thomas Tobias Roth, Bruce Alastair Watson
Canonical systems in with absolutely continuous real symmetric -periodic potentials matrices are considered. A through analysis of the discriminant is given along…
Borg's Periodicity Theorems for first order self-adjoint systems with complex potentials
Sonja Currie, Thomas Tobias Roth, Bruce Alastair Watson
A self-adjoint first order system with Hermitian -periodic potential , integrable on compact sets, is considered. It is shown that all zeros of $Δ+ 2e^{-i\int_0^π\Im q dt}…