Extremal solutions of certain operator-differential systems (Q750860)

The author studies extremal properties of solutions of operator- differential systems \(y'+A(z,y)=f\), \(y(0)=y_ 0\), \(z=G(u,z,y)+g\), with constraints F(u,z,y)\(\geq 0\), \(u\in U\subset V\), \(z\in M\subset Z\), \(y\in K\subset X\), where V, Z and X are certain Banach spaces. The results of the paper may be used to solve certain control and optimization problems.