Registration Number
0215U004996,
0115U005407
, R & D reports
Title
Long-term forecasts for non-autonomous dissipative dynamical systems of different nature
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Head
Kasyanov Pavlo Olegovych,
Registration Date
24-12-2015
Organization
Educational Scientific Complex "Institute for Applied System Analysis" of National Technical University of Ukraine "Kiev Polytechnic Institute"
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Using the methods of global and trajectory attractors theory, general scheme for studying an asymptotic solutions dynamics of infinitedimensional evolution problems without uniqueness is presented and substantiated. For non-utonomous system of reaction-diffusion type the existence of global attractor is proved. For one class of evolution variational inequalities on convex cones the notion of physical solution is introduced. The possibility of global describing of the behavior for such systems in natural phase space in topology of strong convergence is shown.
Product Description
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Горбань Наталія Володимирівна
Жайворонська Тетяна Вікторівна
Касьянов Павло Олегович
Купенко Ольга Петрівна
Палійчук Лілія Сергіївна
Ткачук Алла Миколївна
Хоменко Ольга Володимирівна
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2020-04-02