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。
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。
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。
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。
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。
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；
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。
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。
In this paper, we introduce the numerical flux of the LDG method (local discontinuous Galerkin method) and prove the existence and uniqueness of the LDG numerical solution.
本文采用局部间断有限元方法，给出其数值通量形式并证明了其数值解的存在唯一性。
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。
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。
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。
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。
Discussed the existence and uniqueness of the analytic solution of the atmospheric circulation equations' mixed problem.
大气环流方程组混合问题解的存在唯一性讨论。
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。
The existence and uniqueness of nonnegative solution for a class of age-structured SEIR epidemic model;
通过初等方法，证明了此冗余系统非负解的存在唯一性。
A study is made on the existence and the uniqueness of periodic solution to a class of higher dimensional periodic differential systems with distributed delay.
研究一类具有分布滞量的高维周期微分系统周期解的存在性和唯一性。
This paper considers the moment problem for modules over principal ideal domain containing existence and uniqueness of solution.
研究主理想环上模的矩量问题，包括矩量问题的存在性和唯一性。
In this paper, We discuss the splines of the completely binary second order index. The existence and uniqueness of the relevant solution of the problem of interpolation is proved.
本文定义了完全二元二级指数样条，证明了相应插值问题解的存在及唯一性。
In this paper, We discuss the splines of the completely binary second order index. The existence and uniqueness of the relevant solution of the problem of interpolation is proved.
本文定义了完全二元二级指数样条，证明了相应插值问题解的存在及唯一性。
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