Registration Number
0215U004997,
0115U005110
, R & D reports
Title
The development and research of qualitative and structural properties for state functions of controlled multidimensional systems with nonlinearities of Caratheodory type
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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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The properties, regularity and the long-term dynamics of state functions for classes of scalar controlled evolution problems are investigated. We consider the case when the uniqueness of solution for corresponding Cauchy problems are not guaranteed. For this investigation we use methods and principles of theory of global and trajectory attractors for multivalued semi-flows. Approximation schemes for numerical investigation of the long-term behavior of solutions for the reaction-diffusion type problems are developed. The obtained results are applied to the specific mathematical models of different nature processes.
Product Description
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Горбань Наталія Володимирівна
Касьянов Павло Олегович
Купенко Ольга Петрівна
Палійчук Лілія Сергіївна
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2020-04-02
