The existence and stability of the optimal control is established based on the parabolic regularization method and the weak convergence technique.

用抛物正则化方法和弱收敛技巧，证明了最优控制的存在性和稳定性。

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In this paper we construct a new interior-point homotopy method for solving fixed-point problem in nonconvex set, and prove the convergence under the weak normal cone condition see Definition 2.

本文构造了一个新的求解非凸区域上不动点问题的内点同伦算法，并在弱法锥见定义2。

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The main result is that we get a sufficient condition for the weak convergence of convolution powers of probability measures, by using the method of local grouplization.

讨论一类可数离散半群上概率测度卷积幂的弱收敛性，主要结果是利用局部群化的观点给出了概率测度卷积幂弱收敛的一个充分条件。

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