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 consider a problem without initial conditions for degenerate nonlinear evolution
equations with nonlinear dynamical boundary condition in spatial unbounded domains. We …

We prove the well-posedness of Fourier problems for anisotropic elliptic-parabolic equations
with variable exponents of nonlinearity without any restrictions at infinity. We obtain …

The existence and the uniqueness of generalized solutions of a problem without initial
conditions are established for linear and nonlinear anisotropic elliptic-parabolic second …

In this article we present strong global solutions for the initial value problem in a reflexive
Banach space, when the linear part of the corresponding differential evolution equation is …

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 …

MM Bokalo, AM Tsebenko EXISTENCE OF OPTIMAL CONTROL IN THE COEFFICIENTS FOR
PROBLEM WITHOUT INITIAL CONDITION FOR STRONGLY Page 1 Математичнi Студiї …

We consider an optimal control problem for systems described by a Fourier problem for
parabolic equations. We prove the existence of solutions, and obtain necessary conditions …

The Fourier problem for higher-order nonlinear integro-differential elliptic-parabolic
equations with variable exponents of nonlinearity is considered. Existence and uniqueness …

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 …