Topological theory of fixed points on infinite-dimensional manifolds -- The structure of extension orbits of lie algebras -- Branching of solutions of smooth Fredholm equations -- Characteristic Cauchy problem on a complex-analytic manifold -- Category of nonlinear differential equations -- Algebraic structure of certain integrable hamiltonian systems -- Riemannian parallel translation in non-linear mechanics -- On Hamiltonian systems with dynamical symmetries -- On the theory of generalized condensing perturbations of continuous mappings -- On solvability of non-linear equations with fredholm operators -- On certain properties of extremals in variational problems -- Minimal morse functions -- Topological methods of investigation of general nonlinear elliptical boundary value problems -- The contact geometry and linear differential equations -- Classical and non-classical dynamics with constraints