We prove a form of Pontryagin's principle for a class of optimal control problems governed by a state equation with memory. Several examples and applications are then considered

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G. Carlier, A. Houmia, R. Tahraoui. “On Pontryagin's Principle for the Optimal Control of some State Equations with Memory.” Journal of Convex Analysis 17 (2010), No. 3&4, 1007–1017.