7 citations · 8 across the 3 of their papers we have counts for
3 papers
math.SG2022★ 1 cited
Cyclic sums of comparative indices and their applications
Julia V. Elyseeva
In this paper we generalize the notion of the comparative index for the pair of Lagrangian subspaces which has fundamental applications in oscillation theory of symplectic differen…
math.SG2021
Oscillation numbers for continuous Lagrangian paths and Maslov index
Julia Elyseeva, Peter Šepitka, Roman Šimon Hilscher
In this paper we present the theory of oscillation numbers and dual oscillation numbers for continuous Lagrangian paths in . Our main results include a connection…
math.DS2020★ 7 cited
Renormalized Oscillation Theory for Symplectic Eigenvalue Problems with Nonlinear Dependence on the Spectral Parameter
Julia Elyseeva
In this paper we establish new renormalized oscillation theorems for discrete symplectic eigenvalue problems with Dirichlet boundary conditions. These theorems present the number o…