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Information × Registration Number 0308U001025, 0106U005863 , R & D reports Title Qualitative and analytic methods of investigation and modelling of nonlinear systems and physics and mechanics fields. popup.stage_title Еволюційні імпульсно-збурені системи. Теорія збурень локально-гамільтонових систем. Стохастичні системи в нескінченно вимірних просторах. Фізико-механічні процеси у суцільному середовищі. Методи безконтактного дослідження наноамплітудних полів. Алгоритми чисельного розв'язання задач термомеханічних полів. Head Perestyuk Mikola Oleksiyovych, Доктор фізико-математичних наук Registration Date 12-01-2008 Organization Taras Shevchenko Kiev university popup.description2 The existance of compact global attractors for nonautomous infinite-dimensional systems is proved. The sufficient conditions of existance of invariant multiplex number in both nonresonans and resonanse cases ave established. For local Hamiltonian systems the the systes the theorem of CAM-Theorem type is proved. The conditions of exiotance and anigneness of Cauche problem solution of "nonobvious" stachastic eqnations in Hilbert spaces are obtained. The algorihm of asymptotic integration of singular disturbed nonlinear differentval eqnations with impulse action was worhed ent. The algorithm of numencal solving of boundary problems of magnetoelastic shells in nonlinean formulation was worked ont and justification of concept of optimal algorithms in holod raphic systems was given. The theoretical investigation of pressure field at supersonic flow of axisymmetric conic povous bodies was carried ont. The new method of measuring the vibrations of subnanometric amplitudes and vibrometer scheme for its measunement were proposed.5635 Product Description popup.authors popup.nrat_date 2020-04-02 Close