Contents: Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems by A. M. Vershik, V. Ya. Gershkovich.- Integrable Systems and Infinite Dimensional Lie Algebras by M. A. Olshanetsky, M. A. Perelomov.- Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems by A. G. Reyman, M. A. Semenov-Tian-Shansky.- Quantization of Open Toda Lattices by M. A. Semenov-Tian-Shansky.- Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras by V. V. Trofimov, A. T. Fomenko.