The uniqueness of the solution is proved by the co-tree technique.
运用补树技术保证了解的唯一性；
We prove the existence and uniqueness of the solution of the system.
证明了方程组解的存在性和唯一性。
Under the suitable conditions, existence and uniqueness of the solution of the problem has been proved.
证明了该问题解的存在唯一性，有界性。
At first, we will prove the local existence and uniqueness of the solution, and establish two comparison lemmas.
我们先证明问题解的局部存在性和唯一性，并建立两个比较引理。
This paper deals with the existence and uniqueness of the solution of a class of nonlinear functional integral equations.
研究一类非线性函数积分方程解的存在唯一性。
The equivalence and uniqueness of the solution of model are demonstrated. Then, MSA algorithm is cooperated with the model.
证明了模型解的等价性和唯一性，给出了求解模型的MSA算法。
The uniqueness of the solution is proved, and the asymptotic expansion of the solution and remainder estimation are also given.
研究了一类含有迁移项的奇摄动抛物方程的周期解问题，给出了解的存在唯一性、渐近解及其余项估计。
Presented here are the sufficient conditions guaranteeing the existence and uniqueness of the solution for certain nonlinear resistive circuits.
本文叙述了一类非线性电阻电路存在唯一解的一种充分条件。
The existence and uniqueness of the solution to these problems with the use of FEM are proved and optimal error estimates in weighted L2-norm are given.
本文讨论二维奇异非稳态问题的有限元方法，证明了弱解的存在唯一性，并给出有限元解的加权L2-模估计。
Apply singular value decomposition and generalize inverse of the matrix to discuss the existence and uniqueness of the solution of the standard linear programming problem.
用矩阵的奇异值分解和广义逆讨论标准线性规划问题解的存在性和唯一性问题。
In this article, we discussed generalized methods for solving the beam eguilibriurr equation with low order terms, analysed stability, convergence and uniqueness of the solution.
讨论了带低阶项的梁的平衡方程的广义解法，分析了解的稳定性、收敛性和存在唯一性。
The structure of mathematical vessel-model and the existence and uniqueness of the solution is studied and the procedure for computing Bicubic Smoothed-Spline Surface is also provided.
探索和研究了数学船型构造及解的存在和唯一性；给出了计算双三次样条曲面的过程。
Also this paper presents the structure of mathematical vessel-model and the existence and uniqueness of the solution and introduces a set of numerical methods to solve the smoothed-spline Surface.
探索和研究了数学船型构造及解的存在、唯一性，且建立了一套求光顺样条曲面的数值方法。
We construct the discrete nonlinear equations for the pressure of gas flow through packed bed of the industrial furnaces. The existence and uniqueness of the solution of these equations is proved.
本文构造了工业反应炉中气体流动压力的离散化方程，同时证明了方程解的存在性和唯一性。
In this paper, we establish the local existence and uniqueness of the solution by using regularization method. We also obtain the global existence and nonexistence. Finally, we get the blow-up rate.
本文运用正则化方法证明了一类退化抛物方程解的存在唯一性，讨论了解的全局存在性与爆破，并在一定的初值条件下得到了解的爆破速率。
It indicates that singular solution exists in solving problems of elasticity, which is inconsistent to the theorem of uniqueness of solution.
结果表明，在弹性力学问题中存在奇异解的情况，这与弹性力学解的唯一性定理是不一致的。
In this paper, we obtain the existence, uniqueness and the convergence of a periodic solution of the full system for general nonlinear systems under asymptotically stable conditions.
本文针对一般非线性系统，在渐近稳定的条件下，得到了完全系统的周期解的存在性、唯一性及收敛性。
This paper by introducing integral deals with the uniqueness and stability of solution of the Cauchy problem to a form of semi-linear parabolic equation.
本文采用引进积分的方法讨论一类半线性抛物型方程柯西问题解的唯一性与稳定性。
Applying the theory of integral equation and functional analysis, we prove the existence and uniqueness of the system solution to the equation, and get the analytical expression of the solution.
运用泛函分析和积分方程理论，证明了系统解的存在性与唯一性，得到系统解的解析表达式。
Multi channel acoustic echo cancellation (AEC) systems suffer from the non uniqueness problem of the adaptive identification solution because of the correlation of the input signals.
多路回波消除问题的本质难点是由于多路输入信号之间的强相关性而导致的自适应滤波器解不唯一的问题。
By using the weak maximum principle, the uniqueness and stability of the solution of water vapour equation with the first, second and third boundary-value problems were proven.
利用该弱极大值原理，证明了对于第一类、第二类和第三类边值问题，水汽方程解的唯一性和稳定性。
In electronic network theory, the existence and uniqueness of solution is a very important fundamental problem.
电网络解的存在唯一性问题是一个十分重要的网络基础理论问题。
In this paper, the existence and uniqueness theorems of solution of a class Non-monotonic parametric stochastic operator equation with piecewise contraction property is discussed.
本文讨论了一类非单调的具有分段压缩性质的含参数随机算子方程组的解的存在性和唯一性。
This paper tries to prove the uniqueness of weak solution to the initial-boundary problem of a pseudo-parabolic equation.
征明了一个伪抛物型方程初边值问题弱解的唯一性。
We obtain the existence and uniqueness of the classical solution by its equivalent parabolic quasi variational inequality.
利用其等价的抛物拟变分不等式，得到了该问题古典解的存在唯一性。
By the methods of operator semigroup and apriori estimates, the existence and uniqueness of the global weak solution and the global strong solution for the system are obtained.
利用算子半群方法和先验估计，证明了该问题整体弱解和整体强解的存在唯一性。
In case the coefficients are periodic, we give some sufficient conditions for the existence and uniqueness of asymptotic periodic solution.
对于系数具有周期性时，我们给出了渐进周期解存在并且唯一的必要条件。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
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