Registration Number
0225U004946,
(0124U003771)
, R & D reports
Title
Infinite-dimensional evolution equations with multivalued and stochastic dynamics
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Якісні та наближені методи для нелінійних та нелокальних рівнянь зі збуреннями в нескінченно-вимірних просторах
Head
Oleksii V. Kapustian, Доктор фізико-математичних наук
Registration Date
23-12-2025
Organization
Taras Shevchenko National University of Kyiv
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Study of qualitative behavior, stability of limit regimes and control of solutions of infinite-dimensional equations and inclusions with deterministic and random perturbations. The main attention will be paid to initial-boundary value problems for nonlinear equations and inclusions with stochastic and impulse disturbances, stochastic functional-differential equations, establishment of solvability conditions and regularity of solutions, stability of limit sets, invariant measures, optimal control
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The robust stability of attractors of dissipative partial differential equations with multi-
valued external perturbations has been investigated. The asymptotic behavior of
impulse-perturbed evolutionary systems without uniqueness has been investigated in
the case when an infinite number of phase vector coordinates are subject to impulse
influence. The qualitative behavior of carriers of weak solutions of the nonlocal
equation of thin films has been studied. The asymptotic behavior and invariant
measures of stochastically perturbed nonlocal equations with delay in Hilbert spaces
have been studied. The study of sample-based methods for modeling, control, and
analysis of classes of nonlinear processes and fields of various nature that obey
nonlinear sub- and superpotential laws has been carried out.
Product Description
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Taranets Roman M.
Oleksandr M. Stanzhitsky
Tetiana Y. Zhuk
Stanzhytskyi Andrii O.
Levenchuk Liudmyla B.
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2025-12-23
