查询词典 existence conditions

In the second chapter, we consider a kind of Kolmogorov system. The sufficient conditions of nonexistence of the closed orbit and existence of the unique and stable limit cycle are obtained.

第二章讨论了一类Kolmogorov系统，得到了系统无闭轨的充分条件和存在唯一稳定极限环的条件，推广了颜向平，张存华等的结果。

Linear Fractional Transformation is adopted to translate the control of perturbation to the control of disturbance, then cost index is augmented, and with the min-max method, a robust receding horizon control law is derived. The sufficient conditions for the existence of the control law and closed-loop stability are also presented. The result is extended to time-invariant system with an infinite horizon, and its consistence with the robust control based on the concept of Quadratic Stability is verified.

首先利用线性分式变换，将摄动系统的鲁棒控制问题转化为对扰动系统的鲁棒控制问题；然后通过对性能指标的扩展，利用min-max方法，得到了鲁棒滚动时域控制律，并给出了其存在和使闭环系统渐近稳定的充分条件，并将结果扩展到对定常系统时域无穷的的情况，指出其与现有的基于二次型稳定概念提出的鲁棒控制的一致性。

In Chapter 2, the D-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ D~(-2)SR~|XZ = Y, Y = Y{D~2Z+D~2Z, Z~TD~2Y = Y~TD~2Z, Y,Z∈ R~}, by applying the generalized singular value decomposition of a matrix pair, the necessary and sufficient conditions for the existence and the expressions for the D-symmetric solutions of matrix equation A~TXA — B on the linear manifold are established.

运用矩阵对的广义奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在D对称解的充要条件及其通解的表达式。另外给出了它的D对称最小二乘解的表达式。

In Chapter 4, the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold S ={X ∈ CSR~|||XY - Z||= min, Y,Z ∈ R~|}, using the quotient singular value decomposition of matrix pairs, the necessary and sufficient conditions for the existence and the expressions for the centro-symmetric solutions of matrix equation A~TXA = B on the linear manifold are established.

利用矩阵对的商奇异值分解，给出了这类线性流形上矩阵方程A~TXA=B存在中心对称解的充要条件及其通解表达式。

In chapter 2 we obtain existence and joint continuity of the local time foradditive Lévy process under some conditions and discuss the upper bounds andlower bounds for the Holder laws of local times processes,the probability of somerare events ralated to small fluctuation of the sample functions and sojourn times insmall balls.Finally some liminf's results about the local and uniform oscillationsof additive stable process are acquired.

第二章给出了可加Lévy过程的局部时存在和联合连续的条件，讨论了其局部时过程的〓律上界和下界，以及可加Lévy stable过程跟样本函数局部振动相关事件的概率和停留在小球上的逗留时问题，同时对可加Lévy stable过程的样本轨道的局部和一致振动证明了一些liminf型结果。

The second section: Under the conditions of nonlinear boundary controbility, we consider the initial boundary value problem of Camassa—Holm equations with dissipative. By using the contractive mapping fixed point theorem and a priori estimates, the existence of global smooth solution, global attractor in H〓, time periodic solution or almost-periodic solution and the global exponential stability are proved.

第二部分：在非线性控制边界条件之下，对于带耗散项的Camassa—Holm方程的初边值问题，用压缩映射不动点原理及先验估计方法，证明了整体光滑解的存在性、整体解的指数稳定性、H〓空间中整体吸引子的存在性以及时间周期解和殆时间周期解的存在性。

First, the conditions for the existence of the solutions to the problem are given, which are two matrix equations, and one of them is second-order Sylvester matrix equation.

给出了问题解的存在条件：两个矩阵方程，其中一个为二阶Sylvester矩阵方程。

In this paper, the essential problems about the transformation matrix of B-spline bases-the conditions of existence, the analytic representation and the computational formulas of the transformation matrix are studied, and the results in those aspects are given.

本文研究其最基本的问题：存在性条件、解析表示和计算方法，利用差商展开系数得到了上述问题的有关结果。

Necessary and sufficient conditions for the existence and the expressions of selfconjugate solution, perselfconjugate solution, centrosymmetric solution, bisymmetric solution, skewselfconjugate solution, skewperselfconjugate solution, skewcentrosymmetric solution, and skewbisymmetric solution to 4 kinds of systems of linear matrix equations over a regular ring with an involutorial antiautomorphism are given.

利用矩阵技巧和所建立的矩阵理论，给出了正则环上五类矩阵方程组有解的若干充要条件和一般解的表达公式。这些矩阵方程组除了它们在理论上有重要的意义外，还有重要的应用价值。在具有对合反自同构的正则环上，给出了四类矩阵方程组有双对称解，中心对称解，斜中心对称解，广自共轭解，斜广自共轭解，自共轭解以及斜自共轭解的充要条件及其这些解的具体表达式。

This dissertation is devoted to the global existence and quench ing phenomena of the solution to a nonlinear parabolic equation of the mean curvature type and the blow-up conditions to another nonlinear parabolic equation.

本文研究了一类平均曲率型抛物方程解的整体存在性和解的熄灭现象及一类非线性抛物方程解的爆破条件。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。