“…We also note the safficient conditions for a minimax (max-rain), obtained by Velichenko in [16,18,354]. These conditions are based on the corresponding results for the unicriterial problem of optimal control [17], where sufficient conditions are formulated for Pontryagin's maximum principle are formulated on fields of extremals and are inserted in place of the maximum principle in the classicalnecessary and sufficient conditions of Euler-Weierstrass-Hilbert. Due to restrictions on the size of the survey, we shall not mention other significant results for the indicated special max-rain problems.…”