Mathematical methods of mechanics of infinite-dimensional non-potential systems

The paper was aimed at the development of variational principles of mechanics of the infinite-dimensional non-potential systems and at the distribution of the mathematical methods of classical dynamics in application to the above systems. As a result the criterium of existence was obtained and the constructive methods of building up of integral variational principles for given equations of motion of the infinite-dimensional non-potential systems were developed. The methods for detection of integrals of the equations of motion with non-potential densities of forces were also developed. The results obtained may be used in mechanical engineeringAvailable from VNTIC / VNTIC - Scientific & Technical Information Centre of RussiaSIGLERURussian Federatio