1、

In Lipschitz condition of the signal transmission functions, the uniqueness of the equilibrium for MAM is proved respectively by using M matrix properties and using homeomorphous map.

在信号传递函数满足李普希兹条件下,分别利用M矩阵性质及同胚映射证明了平衡点的唯一性。

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2、

Uniqueness and accurate solution of roundness error according to the minimum condition

最小条件圆度误差的唯一性及其精确解

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3、

For the case of infinite time horizon, the condition of existence and uniqueness of the optimal solution is given and proven.

对于无限时域的情形,给出并证明了其最优解的存在唯一性条件。

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4、

Based on the results of their research, this paper deals with the two-phase Stefan problem in the heat equation with energy boundary condition. The existence, uniqueness and continuous dependence of the solution are also given in this paper.

本文在M.Primicerio关于两栩Stefan问题的结果基础上,对热传导方程能量积分型两相Stefan问题进行了研究,给出了解的存在性及连续相依性的结果。

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5、

Applying the integral a priori estimates method, the existence and uniqueness of the global solution for the generalized Hasegawa-Mima equation with initial periodic boundary condition was proved.

运用关于时间的一致先验估计,证明了具有周期边值条件的广义Hasegawa-Mima方程整体解的存在性、惟一性。

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6、

therefore, it is necessary to explain the usage condition of the theorem of uniqueness of solution of elasticity.

为此,需要对弹性力学解的唯一性定理的适用条件适当加以说明。

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