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In Delay Tolerant Networks, energy efficient forwarding algorithms are significant to enhance the performance of messages' transmission probability. In this paper, we focus on the problem of optimal opportunistic epidemic forwarding with energy constraint. By introducing a continuous time model, we obtain the optimal static and dynamic policies for multi-messages forwarding. Extensive simulations show that the optimal dynamic policy achieves about 26% higher transmission probability than the static policy while the number of messages decreases the average transmission probability.