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Information × Registration Number 0223U005771, 0122U002463 , R & D reports Title Boundary-Value Problems and Impulse Perturbations of Nonlinear Evolution Equations in Infinite-Dimensional Spaces popup.stage_title Head Boichuk Oleksandr А., Доктор фізико-математичних наук Registration Date 30-12-2023 Organization Department for special training National academy of science of Ukraine at Kiev University popup.description2  The report on the scientific research work “Boundary-Value Problems and Impulse Perturbations of Nonlinear Evolution Equations in Infinite-Dimensional Spaces” contains 58 pages. Research results were presented in 27 works: in particular, 10 articles have been published, 2 articles have been accepted for publication, 2 preprints have been submitted. Research object: impulsively and stochastically perturbed infinite-dimensional systems, boundary-value problems for linear and nonlinear evolution equations in infinite-dimensional Banach and Hilbert spaces. The aim of the work: analysis of the qualitative behavior of solutions of impulsively and stochastically perturbed infinite-dimensional systems, research of boundary-value problems for linear and nonlinear evolutionary equations in infinite-dimensional Banach and Hilbert spaces. Research methods: methods of the theory of nonlinear and impulse systems, methods of multivalued and stochastic analysis, methods of the theory of semigroups and nonlinear partial differential equations, methods of nonlinear functional analysis, Newton-type iterative methods, methods of the theory of dynamic systems and operator theory. The results obtained: the problems of solvability, stability, controllability for impulsively and stochastically disturbed infinite-dimensional systems, boundary-value problems for evolutionary equations in infinite-dimensional spaces were investigated. Product Description popup.authors Atlasiuk Olena M. Dvornyk Anatolii V. Kapustian Oleksii V. Perestiuk Mykola O. Perestiuk Mykola О. Pokutnyi Oleksandr O. Stanzhytskyi Oleksandr M. Tkachenko Viktor Ivanovych Feruk Viktor A. popup.nrat_date 2023-12-30 Close