The numerical solution of the problems of optimal control to nonstationary Sobolev type model in relatively radial case

In this paper we prove the existence of a unique optimal and hard control over solutions of Showalter – Sidorov problem for nonstationary model, which is described by Sobolev type equations. In this case, one of the operators in the equation is multiplied by a scalar function of the time-variable, besides stationary equation has a strong continuous degenerate resolving semigroup of operators.