1 citations · 1 across the 4 of their papers we have counts for
4 papers
Transparent boundary conditions for the stationary Schroedinger equation via Weyl-Titchmarsh theory
V. A. Derkach, C. Trunk, J. R. Yusupov +1
We propose a general approach for deriving transparent boundary conditions for the stationary Schroedinger equation with arbitrary potential. It is proven that the transparent boun…
Indefinite Sturm-Liouville operators in polar form
Branko Ćurgus, Volodymyr Derkach, Carsten Trunk
We consider the indefinite Sturm-Liouville differential expression \[\mathfrak{a}(f) := - \frac{1}{w}\left( \frac{1}{r} f' \right)',\] where is defined on a finite o…
On a class of integral systems
Volodymyr Derkach, Dmytro Strelnikov, Henrik Winkler
We study spectral problems for two--dimensional integral system with two given non-decreasing functions , on an interval which is a generalization of the Krein s…
Generalized -generating matrices and Nehari-Takagi problem
Volodymyr Derkach, Olena Sukhorukova
Under certain mild assumption, we establish a one-to-one correspondence between solutions of the Nehari-Takagi problem and solutions of some Takagi-Sarason interpolation problem. T…