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Hamiltonian is considered. The method of evaluation of functional integrals is based on the expansion

second order Hamiltonian systems in the strongly indefinite case. The proof relies on a careful analysis

is introduced, which is a locally convex space to which the Hamiltonian function, trajectories

inapplicable to unbounded ones). Although the averaging of families of semigroups generates a function

By a bi-variational system we mean any system of equations generated by two different Hamiltonian

We establish a connection between symmetries of functionals and symmetries of the corresponding

of symplectomorphisms generated by Liouville-integrable Hamiltonian systems. We construct an invariant measure

of the corresponding functionals - in general nonclassical Hamiltonian actions - and their applications for the search

introduce the volume of the object into consideration using a singular addition to the Hamiltonian function

functional approximation. It was found that the interaction of benzene with atomic fluorine can proceed via

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