Material systems, hamiltonized with the help of additional variables, are investigated in the paper aiming at the propagation of the hamiltonian mechanics methods on systems of the non-mechanical nature. As a result Lagrange's functions and Raus' functions for differential equations of an arbitrary order have been constructed by the expansion method. Problems of the transition from the lagrangian of the extended system to the hamiltonian, in that number in the singular case, have been considered. Methods of symmetry, Hamilton-Jakobi, Poisson have been extended on extended systems. The paper results may find their field of application in the investigation of material systems of the non-mechanical nature, in theoretical mechanicsAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio
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