In this paper we consider an optimal control problem of nonclassical diffusion equations with memory. We investigate the existence and uniqueness of optimal solutions. The necessary and sufficient optimality conditions are also studied. The main novelty of our result is to establish the optimality conditions for the parabolic optimal control problem with memory.

中文翻译：

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具有记忆的非经典扩散方程的最优控制

在本文中，我们考虑带记忆的非经典扩散方程的最优控制问题。我们调查最优解的存在性和唯一性。还研究了必要和充分的最优条件。我们的结果的主要新颖之处在于建立了带记忆的抛物线最优控制问题的最优条件。