证明了方程组解的存在性和唯一性。
We prove the existence and uniqueness of the solution of the system.
还给出了计算此非线性方程组解的递推算法和程序框图。
To solve the equations numerically, a recurrent algorithm and its corresponding flow chart was also given in this paper.
由非齐次线性方程组解的结构给出静态工作点的基础解；
Then, the basic solution set of conical magnetic bearing static operation points is given based on the solution structure of linear equation group.
建立了一类中立型抛物微分方程组解的振动的若干充分条件。
Some sufficient conditions are established for the oscillation of systems of parabolic differential equations of neutral type.
在半空间上讨论了一类退缩抛物型方程组解的存在性与爆破性质。
The existence and blow-up of a class degenerate parabolic systems in semi-space is considered.
非局部半线性抛物方程组解的整体存在和爆破已为大量作者研究。
The global existence and finite time blow-up of solutions on semilinear parabolic systems with nonlocal source have been studied by many authors.
本文讨论了几个特殊的二维驻定方程组解的全局渐近稳定性问题。
In this paper, the problem about asymptotic stability in the large of the solution of several particular two-dimensional autonomous systems is discussed.
分别使用不动点定理，序方法讨论了一类非单调算子方程组解的存在及其迭代。
By using the theory of fixed point and cone theory, we obtain some new results about the system of a monotone operator equations.
本文分别研究了一维拟线性双曲方程组与多维双曲-抛物方程组解的大时间状态行为。
Here we study the large time behavior of solutions to quasilinear hyperbolic systems in one dimension and hyperbolic-parabolic systems in multi-dimensions.
通过运用比较定理和构造上、下解方法，建立了该方程组解的整体存在和有限爆破的充分条件。
By comparison the theorem and the upper-lower solution method, the sufficient condition for the finite time bow-up and global existence of solution are established.
研究了由三个拟线性退化抛物型方程通过非线性项耦合而得到的一类拟线性退化抛物方程组解的性质。
The properties of solution to a class of quasilinear degenerate parabolic system coupled via three nonlinear diffusion equation are considered.
本文讨论了一类反应扩散方程组解的渐近性质。这类方程组包括传染病理论和燃烧理论中出现的一类方程。
In this paper we study the asymptotic property of solutions of a class of reaction-diffusion systems including those appearing in the theory of epidemics and combustion.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
The article discusses rank of a matrix by the solution theorem of system of homogeneous linear equations, and proves several famous inequalities and two propositions on rank of a matrix.
利用齐次线性方程组解的理论讨论矩阵的秩，给出几个关于矩阵秩的著名不等式的证明，并证明了两个命题。
The judgment theorems for locating correctness were concluded by skillfully combining the solutions of homogenous linear equations with locating schemes.
结果表明，该方法计算速度快、精度高，解决了求解非线性方程组解的模糊性问题，确保了测试结果的可靠性。
It is shown that the method is quick and precise, and the problem of the ambiguity for nonlinear equations and the measurement reliability are solved.
讨论一类退缩拟线性抛物方程组解的局部存在性与猝灭，证明了在一定条件下解在有限时刻发生猝灭，并给出猝灭时间的一个上限估计。
A class degenerate quasilinear parabolic systems is considered. The local existence is proved. In some conditions the solution quench in a finite time. And an estimate of quenching time is given.
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。
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.
这就是我们要解的方程组。
Meschach可以解稠密或稀疏线性方程组、计算特征值和特征向量和解最小平方问题，另外还有其它功能。
Meschach was designed to solve systems of dense or sparse linear equations, compute eigenvalues and eigenvectors, and solve least squares problems, among other things.
否则，此线性方程组无解，或者无穷解？
Otherwise, well, AX equals B has either no solution, or infinitely many solutions. Yes?
，这是我的计划：线代的基本问题是用来解线性方程组（systemof linear equations）。
, this is my plan, the fundamental problem of linear algebra, which is to solve a system of linear equations.
所有的事情都归结于解方程组5c"+d'=54,c"d'=144,即表示c''是x(54-5x)=144或 5x2-54x+144=0的解。
The whole thing thus boils down to solving 5c"+d'=54 and c"d'=144, which means that c" is solution of x(54-5x)=144 or 5x2-54x+144=0.
该系统所采用的算法由于作了某些必要的近似处理，避免了直接解非线性方程组同时又满足了精度要求。
By making some necessary approximations, the algorithm used for this system is able to avoid solving directly system of nonlinear equations without losing the expected accuracy.
本文提出了一种基于蚁群算法求方程组数值解的新方法。
A new method for resolving equation groups is proposed, which is based on Ant Colony System.
通过对离散傅立叶逆变换的分析，我们得到一个线性方程组，它的解可以作为序列的谱。
Analyzing inverse DFT, we obtained a system of linear equations, whose solution can be taken as the spectrum of the data series.
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。
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.
作为应用，研究了一类起源于动态规划的泛函方程组公共解的存在性问题。
As applications, the existence of common solutions for a class of system of functional equations arising in dynamic programming are discussed.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
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