We study a competition model with two sellers that auction non-identical objects, unlike most of the literature on competing auctions. Each bidder has bidimensional private information, his values for the objects, and chooses the auction in which he participates (if any) after each seller has...

As in [7] we consider classical system of interacting particles P_1, ... , P_n on the line with only neighboring particles involved in interaction. On the contrast to [7] now periodic boundary conditions are imposed onto the system, i.e. P_1 and P_n are considered neighboring. Periodic Toda...

We study classical multiparticle system (e.g. Toda lattice) on the line whose dynamics will be controlled by forces applied to few particles of the system. Various problem settings, typical for control theory are posed for this model; among those: studying accessibility and controllability...

We study controllability of 2D defocusing cubic Schroedinger equation under periodic boundary conditions and control applied via source term (additively). The source term is a linear combination of few complex exponentials (modes) with time-variant coefficients - controls. We manage to prove...