N. Papageorgiou, OPTIMALITY CONDITIONS FOR SYSTEMS DRIVEN BY NONLINEAR EVOLUTION-EQUATIONS, Mathematical problems in engineering, 1(1), 1995, pp. 27-36
Using the Dubovitskii-Milyutin theory we derive necessary and sufficie
nt conditions for optimality for a class of Lagrange optimal control p
roblems monitored by a nonlinear evolution equation and involving init
ial and/or terminal constraints. An example of a parabolic control sys
tem is also included.