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。

Uniqueness of radial minimizer ofp-Ginzburg-Landau functional with nonvanishing dirichlet boundary condition

具非零边界 条件的p-Ginzburg-Landau泛函径向极小元的 惟一 性

The uniqueness theorem of generators about g-expectation under non-Lipschitz condition

非Lipschitz 条件下的g-期望的生成元 唯一 性定理

It is proved that existence and uniqueness on systemic positive equilibrium dot with the state feedback . Gives the asymptotic steady condition in positive equilibrium dot of the said system .

证明了对该系统添加状态反馈后可控制系统正平衡点的存在性和 惟一 性，给出了系统在平衡点渐近稳定的 条件。

In this paper we prove the existence and uniqueness of global weak solution of Non Newton Filtration equation with a kind of nonlinear boundary condition .

证明了一类具有非线性边值 条件的非牛顿渗流方程解的存在和 唯一 性。

By using a method of energy intergral this paper has discussed the stability and uniqueness on solutions of ( E ) to disturbance term and initial boundary condition of the equation .

本文用能量积分的方法，讨论了一类反应扩散方程组（二阶）解对自由项，边界 条件，初始 条件的稳定性及 唯一 性。

The existence and uniqueness of solution of the fuzzy random Volterra integral equations on the condition of mean square integral is proved .

讨论了模糊随机Volterra积分方程在均方积分的 情况 下解的存在 唯一 性。

Properties such as existence uniqueness and idempotency of the developed method are demonstrated and a necessary and sufficient condition of the minimum distance solution is also investigated .

还对最小距离算法重建结果的存在性、 唯一 性、 幂等性等性质作了证明。

In this paper we use nonsymmetric iteration method to study existence uniqueness and iteration of decreasing operator which only satisfy some ordered condition without continuous condition and compact condition new fixed point theorems are obtained .

在没有连续性条件和紧性条件 下利用非对称迭代的方法研究了减算子新的不动点存在性、 唯一 性及迭代收敛性，得到了新的不动点定理以及给出此迭代的误差估计式。

We present the existence and uniqueness of variational solution in global form for subsonic condition and the sufficient condition of existence of variational solution in local form for supersonic condition and suggest a general method for establishing the strict complementary variational principles of general nonlinear problems .

在超音速情况 下，表为 局域形式，给出变分解存在的充分条件。同时提供一种建立一般非线性问题严格互补原理的较为普遍性的方法。

In centralized decision-making supply chain the existence and uniqueness of the optimal joint decision on pricing and capacity is proved in the condition of general price-sensitive demand function . The optimal market price is the decreasing function of capacity .

对于一般需求函数，证明了最优解的存在性和 唯一 性，以及最优市场价格是产能 水平的减函数。

The richness and uniqueness of Chinese thought should be better revealed and the murmuring condition should be changed in the multiple narrations .

在可选择的多元化的叙述方式中，中国思想的丰富性和 独特 性将会得到更好的呈现，其“失语”的 状态也有望得到改变。

Secondly the mathematical model is posed for signal reconstruction and analyze the existence uniqueness and certainty of solutions of the mathematical model under the sensing matrix satisfies the corresponding RIP condition .

其次，摆出了信号的重构的数学模型，并在感知矩阵满足相应的RIP 条件 下分析了数学模型的解的存在、 唯一和确定性。

The uniqueness of solutions to the Riccati equation and the frequency domain results are generalized from the Smooth Pritchard-Salamon system to the nonsmooth Pritchard-Salamon system which have no the smooth condition .

将光滑PritchardSalamon系统相应的Riccati方程解的 唯一 性结果和频域结果推广到非光滑PS系统（不含光滑性 条件的PS系统）。

In this paper we prove uniqueness and existence of the optimal fission cross section and give the optimality condition .

给出了最优解的存在性、 唯一 性以及最优解的充分必要 条件。

According to uniqueness theorem the integral formulations of the first class boundary condition and the second class boundary condition are given form the above integral formulation .

根据边值 问题 的 唯一 性原理，由此积分解表达式给出了第一类和第二类 边界条件的积分解表达式。

In the second part the steady-state viscous quantum hydrodynamic model in the one-dimensional space is studied . The existence and uniqueness of strong solutions with general boundary conditions is obtained under a subsonic condition .

第二部分考虑了一维粘性单极定态QHD模型，在亚音速和一般的边界 条件下，得到了强解的存在 唯一 性。

The present paper deals with the stability and uniqueness of generalized solutions for the Cauchy problem of the form The essential condition for the stability and uniqueness of generalized solutions is that ( s x t ) ds is strictly increased with respect to u.

证明了拟线性退缩抛物方程在（s，x，t）ds关于u严格单调增加的 条件 下，Cauchy问题广义解的稳定性和 唯一 性。

Moreover we prove the uniqueness of stationary reputation distribution and theoretically derive the condition under which the optimal action rule is evolutionarily stable .

本文还证明了稳态信誉值分布的 唯一 性，并理论推导了最优策略为进化稳定策略的 条件。

Then we displayed some results based on it i.e. existence uniqueness and other properties of BV solutions for the cauchy problems of above two equations with σ - finite Borel measure as initial condition .

其次，给出了在此基础上所得到的一些结果，即上述两类方程以σ有限Borel测度为初值 条件的Cauchy问题BV解的存在性、 惟一 性及其他一些性质。

The uniqueness of the original problem is proved and then the inverse problem is transformed into an optimization problem on the basis of optimal con-trol framework . The existence and necessary condition of the optimal solution are obtained .

我们首先证明了原问题的 解 的 唯一 性，进而在最优控制理论框架下将原问题转化为一个优化问题，证明了最优解的存在性和所满足的必要 条件。

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