2 citations · 3 across the 4 of their papers we have counts for
4 papers
Josephson Effect and Isomonodromic Deformations
Yulia Bibilo
We consider some properties of double confluent Heun equation related to the Josephson Effect. In particular, we prove that adjacency points of phased-locked areas on a parameter p…
Constructive Solutions to the Riemann--Hilbert Problem and Middle Convolution
Yulia Bibilo, Galina Filipuk
In this paper we present a general scheme to generate constructive solutions to the Riemann--Hilbert problem via middle convolution and illustrate this approach for a Fuchsian syst…
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
Yulia Bibilo, Galina Filipuk
The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In th…
Isomonodromic deformation of the linear differential system in the Birkhoff standard form
Yulia Bibilo
We consider a linear meromorphic system in the Birkhoff standard form. The construction of the isomonodromic deformation of it proposed by Bolibruch is discussed. This construction…