Cauchy indices and the index of a singular point of a vector field -- Complete integrability with noncommuting integrals of certain euler equations -- Multidimensional parametrized variational problems on riemannian manifolds -- On certain classes of selections of many-valued mappings -- On the spectral synthesis in the spaces of solutions of invariant differential equations -- Topological aspects of geometrical theory of differential equations -- On the principle of the shortest way in the dynamics of systems with constraints -- Stochastic equations and differential geometry -- Fundamental physical equations uniquely determined by their symmetry groups -- Riemannian parallel translation, the ito integral, and stochastic equations on manifolds -- An equivariant analogue of the index of a gradient vector field -- On the topology of invertible linear singular integral operators -- Model equation for dynamics of phase translation -- The destruction of spherical symmetry in non-linear variational problems.