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 …

Sobolev type equations now constitute a vast area of non-classical equations of
mathematical physics. They include equations of mathematical physics, whose …

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 …

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 …

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 …

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 …

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 …

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 …

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 …

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 …