Stochastic Equations of Sobolev Type with Relatively $$p $$ -Radial Operators in Spaces of Differential Forms

Differential Equations - We consider the Showalter–Sidorov problem for the stochastic version of the linear Ginzburg–Landau equation in Hilbert spaces of smooth differential forms...     

Cauchy problem for a class of semilinear equations of Sobolev type

Chelyabinsk. Novgorod. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 5, pp. 109–119, September–October, 1990.     

On the solvability of a nonstationary problem describing the dynamics of an incompressible viscoelastic fluid

We study the local solvability of the Cauchy-Dirichlet problem for the system which describes the dynamics of an incompressible viscoelastic Kelvin-Voigt fluid. The configuration space of the problem is described. Translated fromMatematicheskie Zametki, Vol. 63, No. 3, pp. 442–450, March, 1998.     

On the stability of solutions of the Oskolkov equations on a graph

We consider the problem on the stability of the Oskolkov equations

An optimal control problem for the Hoff equation

The sufficient and necessary conditions are given for existence of an optimal control in the bending problem for an I-beam.     

The Phase Space of One Generalized Model by Oskolkov

We demonstrate that the phase space of the Cauchy–Dirichlet problem for the equation u _t -u _t =u-K(u)+f is a simple Banach C -manifold.     

The Phase Space of an Initial-Boundary Value Problem for the Hoff Equation

The Hoff equation describes the H-beam buckling dynamics. We show that the phase space of the Hoff equation is a simple Banach manifold modeled on a subspace complementary to the kernel .