[PDF][PDF] Multipoint initial-final value problems for dynamical Sobolev-type equations in the space of noises

A Favini, S Zagrebina, G Sviridyuk - 2018 - digital.library.txstate.edu
We prove the existence of a unique solution for a linear stochastic Sobolev-type equation
with a relatively p-bounded operator and a multipoint initial-final condition, in the space …

Linear Sobolev Type Equations with Relatively p-Radial Operators in Space of “Noises”

A Favini, G Sviridyuk, M Sagadeeva - Mediterranean Journal of …, 2016 - Springer
Sobolev type equations now constitute a vast area of non-classical equations of
mathematical physics. They include equations of mathematical physics, whose …

The optimal measurements theory as a new paradigm in the metrology

AL Shestakov, AV Keller, AA Zamyshlyaeva… - … of Computational and …, 2020 - jcem.susu.ru
The article is an overview and contains a brief history of the theory of optimal dynamic
measurements as one of the paradigms in Metrology. The introduction contains the main …

Exponential dichotomies in Barenblatt-Zheltov-Kochina model in spaces of differential forms with" noise''

OG Kitaeva, DE Shafranov… - Вестник Южно …, 2019 - cyberleninka.ru
We investigate stability of solutions in linear stochastic Sobolev type models with the
relatively bounded operator in spaces of smooth differential forms defined on smooth …

Optimal control of solutions of a multipoint initial-final problem for non-autonomous evolutionary Sobolev type equation.

MA Sagadeeva, SA Zagrebina… - Evolution Equations & …, 2019 - search.ebscohost.com
The paper presents sufficient conditions for existence of an optimal control of solutions to a
non-autonomous degenerate operator-differential evolution equation. We construct families …

Multipoint initial-final problem for one class of Sobolev type models of higher order with additive" white noise"

GA Sviridyuk, AA Zamyshlyaeva… - Вестник Южно …, 2018 - cyberleninka.ru
Sobolev type equations theory has been an object of interest in recent years, with much
attention being devoted to deterministic equations and systems. Still, there are also …

Stochastic mathematical model of internal waves

EV Bychkov, AV Bogomolov… - Вестник Южно …, 2020 - mathnet.ru
The paper studies a mathematical model of internal gravitational waves with additive “white
noise”, which models the fluctuations and random heterogeneity of the medium. The …

Exponential dichotomies of a stochastic non-classical equation on a two-dimensional sphere

OG Kitaeva - Journal of Computational and Engineering …, 2021 - jcem.susu.ru
The article discusses a stochastic analogue of the linear Oskolkov equation, which is
obtained from the Oskolkov system of equations. The existence of a solution to the Oskolkov …

[HTML][HTML] Invariant Spaces of Oskolkov Stochastic Linear Equations on the Manifold

OG Kitaeva - Вестник Южно-Уральского государственного …, 2021 - cyberleninka.ru
The Oskolkov equation is obtained from the Oskolkov system of equations describing the
dynamics of a viscoelastic fluid, after stopping one of the spatial variables and introducing a …

Degenerate Holomorphic Semigroups of Operators in Spaces of-“Noises” on Riemannian manifolds

OG Kitaeva, DE Shafranov, GA Sviridyuk - Conference on Semigroups of …, 2018 - Springer
We investigate the degenerate holomorphic resolving semigroups for the linear stochastic
Sobolev type models with relatively p-sectorial operator in the spaces of smooth differential …