To ensure the existence of the solution, it is required that the close-loop poles not be coincident with the open-loop ones.
为保证方程有解，该算法要求系统的开环和闭环极点不能重合。
We obtain the existence of the solution of the second order boundary value problem and the asymptotic estimation by some hypothetic condition.
证明了第二边值问题摄动解的存在，并给出了渐近估计式。
Under the general conditions, we prove the existence of the solution and get the asymptotic expansions of the solution and its derivatives, which are uniformly valid for the higher orders.
在一般的条件下，证明了解的存在性，而且得到解及其各导数的高阶一致有效渐近展开式。
On the basis of light interaction with two-level atomic system, we derive the interaction solitary wave equations, its solution and two necessary conditions for the existence of the solution.
在光与二能级原子系统相互作用的基础上，我们导出相互作用孤立波方程组及其精确解，以及存在解的两个必要条件。
Using the fixed point principle and the theory of differential inequality, we prove the existence of the solution and an uniformly valid asymptotic expansions of the solution is given as well.
利用不动点原理及微分不等式理论，我们证明了边值问题解的存在性，并给出了解的一致有效渐近展开式。
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。
The judge later confirmed the existence of the code, and revealed that the Fibonacci sequence was indeed the secret to its solution.
之后，法官证实密码确实存在，并说明破解密码的方法就是斐波那契序列。
An iterative method would converge on one of the solutions, without any indication of the existence of the other ambiguous solution.
迭代方法会收敛于其中一个解而没有任何关于存在另一二义性解的指示。
By employing the fixed point index of condensing mapping, the existence results of positive solution are obtained under two cases, the conclusions extend the results recently achieved in this field.
我们应用凝聚映射的不动点指数理论，分别存两种情形下，获得了一些正解存在的结果，推广了近期这方面已有的一些结果。
By using the boundary Layer function method, the existence and uniformly valid estimation of the solution are given.
我们利用边界层函数法给出了解的存在性与解的一致有效估计。
However, the existence of the asset management company is not a long-term solution.
但是，资产管理公司的存在并不是一个长久的办法。
But sporadic attention has been given to another potential solution: eating the Asian carp out of existence, or at least making a dent in the population.
不过另外一种可能的解决方案却鲜有人去关注：在餐桌上干掉鲢鱼，这至少可以减少它们的数量。
The formulation for these problems has been perfected gradually, and there have been important advances in the existence of a solution and the numerical methods of these problems in the last 20 years.
最近20年，对这些问题的提法逐渐完善，解的存在性和数值方法方面已取得了许多重要进展。
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。
The existence of the bounded solution of unstable internal dynamics is the key to tracking reference trajectory stably.
研究表明，不稳定内部动态有界解的存在性是非最小相位系统能够稳定跟踪期望输出轨迹的关键。
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 the end, we prove the validity of the singular perturbation expansions and get some useful deductions about the existence of the classical solution to the flood wave equations.
最后文章证明了对带松弛项的流波方程初值问题所作的奇异摄动展开的有效性，得出了有关解的存在性的一些有用的推论。
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。
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；
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。
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。
Under suitable conditions, using the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.
适当的条件下，利用微分不等式理论，讨论了原边值问题解的存在性和渐近性态。
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。
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。
The effect of each parameter on existence of the periodic solution is discussed by analyzing the dynamical properties of the solutions of the equation.
通过对方程解的动力学性质分析，讨论了各个参数对方程解的定性性质影响。
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。
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 second-order nonlinear differential equations are studied and the existence of the periodic degenerate solution is proved with the principle of the functional analysis.
应用非线性泛函分析的理论和方法研究了一类二阶线性微分方程，证明了周期衰减解的存在性。
In this paper, using the methods in nonlinear analysis, this present paper, studies the quasilinear parabolic systems in population dynamics, and obtained the existence of the global solution.
本文采用非线性分析方法，研究生物种群动力学中一类拟线性抛物系统，得到解的整体存在性。
In this paper, using the methods in nonlinear analysis, this present paper, studies the quasilinear parabolic systems in population dynamics, and obtained the existence of the global solution.
本文采用非线性分析方法，研究生物种群动力学中一类拟线性抛物系统，得到解的整体存在性。
应用推荐