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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.
List of contents
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.
