On 22.09.2016, at 11.00 the eleventh seminar of the department of «Optimal Control» will be held. At the seminar leading researcher of Institute of Mathematics and Mechanics Rafig Teymurov will give a talk on «SOME PROBLEMS OF OPTIMAL CONTROL FOR THE PARABOLIC EQUATIONS WITH NONLOCAL INTEGRAL BOUNDARY CONDITIONS».
In the work, we consider a problem of optimal control of mobile sources for the parabolic equation with nonlocal integral boundary conditions. For the considered problem of optimal control the theorem of existence and uniqueness of the solution is proved, sufficient conditions to the Frechet differentiability of the cost functional are established and expression for its gradient is derived, necessary optimality conditions are obtained.