Abstract:
The model of heterogeneous catalysis in the immovable layer which was presented by G. K. Borescov and others in the Doklady Akademii Nauk SSSR, Vol. 237, № 1, p.p. 160-163, is considered. This model is contained in the set of smoothly convex extremal prolems like $F(\theta,u)=0$, $J(\theta,u)\to\max_{u\in U_\partial}$ The conditions of the solution $\theta$ of the equation $F(\theta,u)=0$ for given control $u$, are founded.