A.M. KARAPETYAN: A.M. Lyapunov and his contribution to the establishment and development of the theory of stability A.Yu. ALEKSANDROV: On the stability of equilibrium states of non-linear non-autonomous mechanical systems S.V. PAVLIKOV: Sign-definite Lyapunov functionals in the problem of stability of the functional differential equation B.S. KALITIN: About a reduction principle for asymptotic triangular systems R.G. MUKHARLYAMOV: Reduction of dynamical equations for systems with constraints to a given structure A.A. KOSOV: Exponential stability and stabilization of non-autonomous mechanical systems under nonconservative forces A.P. IVANOV: On the stability of equilibria in systems with friction N.N. VERICHEV, S.N. VERICHEV and V.I. YEROFEYEV: Chaotic dynamics of vibrational mechanisms with a finite energy supply M.M. ALIMOV: Reducibility of anisotropic Hele-Shaw problem to the isotropic case E.K. LAVROVSKII and V.V. FOMINYKH: Equilibrium shapes of non-uniform vortices in the ocean P.Ye. SPESIVTSEV and E.V. TEODOROVICH: Stochastical characteristics of the displacement front in a randomly heterogeneous porous medium A.V. KOLDOBA and Ye.V. KOLDOBA: The propagation of weak concentration discontinuities for an isothermal compositional flow in porous media V.S. SERGEYEV: On the torsion of a viscoelastic plate in an unsteady flow V.A. BOROVIKOV: Scattering on a plane flexural wave by a sector of thin elastic plate with supported edge D.V. DOLGIKH and V.V. KISELEV: Dent patterns on the surface of a longitudinally loaded non-linear elastic cylindrical shell Obituary: V.I. Mossakovskii