Title: GBDT of discrete skew-selfadjoint Dirac systems and explicit solutions of the corresponding non-stationary problems,
Abstract: Generalized Bäcklund-Darboux transformations (GBDTs) of discrete
skew-selfadjoint Dirac systems have been successfully used for explicit solving
of direct and inverse problems of Weyl-Titchmarsh theory. During explicit
solving of the direct and inverse problems, we considered GBDTs of the trivial
initial systems. However, GBDTs of arbitrary discrete skew-selfadjoint Dirac
systems are important as well and we introduce these transformations in the
present paper. The obtained results are applied to the construction of explicit
solutions of the interesting related non-stationary systems.