In the recent years, much attention has been paid to the study of mathematical models of
electro-rheological fluids. These models include parabolic or elliptic equations which are …

Uniqueness of solutions of the parabolic variational inequality with variable exponent of
nonlinearity - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals & …

Direct and inverse problems for first-order in time linear evolution problems without initial
conditions, ie related to the unbounded time-intervals (−∞, 0 and R, are considered in the …

Problems without initial conditions for evolution equations and variational inequalities
appear in the modeling of different non-stationary processes within many fields of science …

We study some sufficient conditions for the existence and uniqueness of a solution to a
problem without initial conditions for degenerate implicit evolution equations. We also …

We research the well-posedness of the problem without initial condition for nonlinear
parabolic variational inequalities with variable time-delay. To justify our results, we impose …

The Fourier problem or, in other words, the problem without initial conditions for evolution
equations and inclusions arise in modeling different nonstationary processes in nature, that …

In this paper, we consider the initial-value problem for parabolic variational inequalities
(subdifferential inclusions) with Volterra type operators. We prove the existence and the …

Optimal control in problems without initial conditions for the evolution variational inequal-
ities is studied. Control functions are contained in a free member of the inequalities. The …

An optimal control problem for systems described by Fourier problem (problem without initial
conditions) for weakly nonlinear evolution variational inequalities is studied. A control …