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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
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。
The purpose of this paper consists in showing the existence and uniqueness of solution of the difference scheme of the first boundary problem for the system of Schrdinger type.
本文证明了非线性薛定格方程组第一边值问题差分格式解的存在唯一性。
This paper is concerned with the global existence and uniqueness of solution fora fast reaction-di? Usion equation with conditions for determining solution.
本文研究快速反应扩散方程定解问题解的整体存在唯一性。
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。
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, 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。
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。
In this paper, the global existence and uniqueness of mild solution for the cauchy problem of a class of generalized equations of pulse transmission type with higher dimension are studied.
本文研究了一类高维广义神经传播方程初值问题的广义解整体存在性和唯一性。
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。
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。
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。
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；
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。
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。
An epidemic SIS model whose coefficient is almost periodic functions is studied. A sufficient condition of existence and uniqueness of positive periodic solution is obtained.
对系数是概周期函数的传染病s IS模型进行了研究，得到了概周期解存在惟一的一个充分条件。
A parabolic system with nonlinear boundary conditions is considered. T he existence and uniqueness of a nonnegative classical solution are proved to this problem.
考虑了一个具有非线性边界条件的抛物系统，证明了这个问题非负古典解的存在唯一性。
The existence and uniqueness of solution are proved when the domain is fixed, and the limit behaviour of solutions is obtained as the domain is changed.
讨论了伪抛物方程的一类非线性非局部边值问题，得到了当区域固定时解的存在唯一性，并就当区域变化时解的极限性态进行了探。
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。
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。
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