Mathematical Problems in Engineering 
Volume 1 (1995), Issue 1, Pages 27-36
doi:10.1155/S1024123X95000044

Optimality conditions for systems driven by nonlinear evolution equations

N. Papageorgiou

 Florida Institute of Technology, Department of Applied Mathematics , Melbourne 32901-6988, Florida, USA
Received 1 September 1994

Abstract

Using the Dubovitskii-Milyutin theory we derive necessary and sufficient conditions for optimality for a class of Lagrange optimal control problems monitored by a nonlinear evolution equation and involving initial and/or terminal constraints. An example of a parabolic control system is also included.