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Information × Registration Number 0311U003283, 0106U002558 , R & D reports Title Dynamical systems and spectral theory of differential and difference operators popup.stage_title Осциляційна теорія Штурма. Квантовий аналог межі Шилова. Топологічні властивості груп перетворень. Head Kotlyarov Volodymyr Petrovych; Marchenko Volodymyr Olexandrovych, Registration Date 25-02-2011 Organization B.Verkin Institute for Low Temperature Physics and Engineering of National Academy of Science of Ukraine popup.description2 The inverse problem of the oscillation theory for large systems of interacting particles is solved. Large time asymptotic formulas for solutions of the nonlinear Schroedinger equation on the semi-axis with a periodic boundary condition and vanishing initial data are received. The inverse scattering transform is developed for a solution of the Cauchy problem for the Kamassa-Holm equation. The de Rham resolvent for a covariant differential calculus on the polynomial algebra over quantum pre-homogeneous vector spaces is proved to be dual to the generalized BGG-rezolvent of the trivial module. A classification of non-factorizable invariant characters on the infinite generalized symmetric group is produced. A description of projective factor-representations of finite type is done. Bratteli-Vershik model for any substitution system is constructed. Product Description popup.authors Єгорова І. Є. Андерс І.А. Безуглий С. І. Берштейн О. О. Бойко М.С. Ваксман Л.Л. Кудрявцев М. О. Кулагін В. М. Мединець К.С. Московченко О.О. Нессонов М. І. Рофе-Бекетов Ф. С. Синельщиков С. Д. Шепельський Д. Г. popup.nrat_date 2020-04-02 Close