S. Currie

most citedCanonical systems in

R^{2}

with periodic potentials and vanishing instability intervals

2 citations · 3 across the 4 of their papers we have counts for

collaborators

6 papers

math.SP2018

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…

math.SP2018

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 $ℓ y := - y^{''} + q y = λ y$ on the intervals $(- a, 0)$ and $(0, b)$ with $a, b > 0$ and $q \in L^{2} (- a, b)$ . We impose boundary conditions $y(-a)\cosα=…

math.SP2017

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…

math.SP2017★ 1 cited

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…

math.SP2017★ 2 cited

Canonical systems in $R^{2}$ with periodic potentials and vanishing instability intervals

Sonja Currie, Thomas Tobias Roth, Bruce Alastair Watson

Canonical systems in $R^{2}$ with absolutely continuous real symmetric $π$ -periodic potentials matrices are considered. A through analysis of the discriminant is given along…