Control by temperature of catalyst in Borescovs model of chemical catalysis

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.