Dmytryshyn Y. Dynamical boundary value problems without initial conditions for evolution equations and inclusions.

The dissertation is devoted to the investigation of dynamical boundary value problems without initial conditions for evolution equations and inclusions. The conditions of existence and uniqueness of the solution of dynamical boundary value problems without initial conditions for linear and almost linear elliptic-parabolic equations have been ascertained. The well-posedness of dynamical boundary value problems without initial conditions for strongly nonlinear elliptic and elliptic-parabolic equations is investigated. The conditions of existence and uniqueness of the solution of dynamical boundary value problems without initial conditions have been studied during the work.