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；
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。
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 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。
To reduce the non-uniqueness, the sensitivity coefficients and response surfaces were used to design the experiment and analyze the uniqueness of solution.
为了减少解的非唯一性，本文使用了敏感系数和响应界面对实验设计和解的唯一性进行了分析。
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。
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。
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。
Using the comparison principle, the existence, uniqueness and its asymptotic behavior of solution for the problem are studied.
利用比较原理，研究了问题解的存在性，唯一性及其渐近性态。
This paper deals with the problems on the existence and uniqueness of bounded solutions and almost periodic solution for third order nonlinear differential equations with time lag.
研究具时滞的三阶非线性微分方程，利用变量替换和不动点方法，得到了此方程有界解和概周期解的存在性及唯一性结果。
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。
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。
Secondly, the existence and uniqueness of the generalized local solution is obtained using the contraction mapping principle.
然后利用压缩映象原理方法，证明了方程局部广义解的存在唯一性；
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。
Under suitable conditions the existence, uniqueness and asymptotic behavior of the generalized solution for the problems are studied.
在适当的条件下，研究了问题广义解的存在、唯一性及其渐近性态。
By deriving limiting zero point of the equation, some sufficient conditions that guarantee the existence and uniqueness of traveling wave solution of this equation are obtained.
通过讨论方程的极限零点和非极限零点，获得了保证其行波解存在惟一性的充分条件。
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。
The local existence, the global existence and the uniqueness of a classical solution of this problem are proved.
文中证明了该问题古典解的局部存在性、整体存在性和唯一性。
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。
This paper proves the existence, uniqueness and periodic problem of the solution about second order singular perturbation system by using the differential inequality.
本文用微分不等式证明了二阶奇摄动系统解的存在性、唯一性和周期性。
Firstly, by use of the successive approximation method and a series of classical estimates, the local existence and uniqueness of weak solution are proved.
利用逐次逼近方法和一系列经典的估计，证明了弱解的局部存在性和惟一性。
The existence and uniqueness of global solution for the nonlinear wave equations with acoustic boundary conditions are obtained.
研究具有声学边界条件的非线性波动方程初边值问题，得到整体强解的存在惟一性。
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。
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。
This paper discusses the existence and uniqueness of consumption plan to attain the utility maximization and solution of them by mathematic viewpoint.
从数学的角度论证了与效用最大化相对应的消费方案的存在唯一性以及求解方法，并通过图形对其进行了解释。
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。
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 this paper, we show the domain of the existence of the solution on Goursat problem for quasi—linear hyperbolic equation and obtain the Theorem of the existence and uniqueness in above domain.
本文以两个自变量的拟线性双曲型方程的古尔沙问题为例，应用反函数和积分不等式证明了等价积分方程组解的存在唯一性，同时给出了解的存在区域和已知参量的依赖关系。
An algorithm for the model using the diagonalization algorithm and MSA algorithm was also proposed. The equivalence and uniqueness of solution of the proposed model were demonstrated.
证明了模型的等价性和解的唯一性，并利用对角化算法和MSA算法设计了模型求解算法。
An algorithm for the model using the diagonalization algorithm and MSA algorithm was also proposed. The equivalence and uniqueness of solution of the proposed model were demonstrated.
证明了模型的等价性和解的唯一性，并利用对角化算法和MSA算法设计了模型求解算法。
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