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唯一性条件

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Considering linear and O-linear predictable variables, the author investigates optimal prediction problems by the trace of matrix. A few necessary conditions are derived and accordingly optimal linear and optimal O-linear unbiased predictors, which are unique with probabitity one, are obtained respectively by the author.

对于一类线性可预测变量和Φ-线性可预测变量,作者在矩阵迹意义下研究了一般增长曲线模型中最优预测问题,找到了其存在最优预测的几个必要条件,并在给定的条件下分别得到了最优线性无偏预测和最优Φ-线性无偏预测,而且还证明了它们在几乎处处意义下的唯一性。

In this paper, the theoretical analysis of matrix's triangular decomposition is mainly discussed, including such as the necessary and sufficient condition of uniqueness of existence in matrix's triangular decomposition,the necessary and sufficient condition of existence and so on.

本文主要对矩阵的三角分解理论分析作了比较全面的统述,它包括矩阵三角分解存在唯一性的充要条件、存在性的充要条件、存在性的充分条件等。

At first, using fixed point theorem, we establish the sufficient conditions which guarantee the existence, uniqueness, uniform stability of periodic solutions for the equations.

首先,我们利用不动点定理,建立了保证该类方程周期解的存在性、唯一性及一致稳定性的充分条件。

A nonlinear semi-discrete model of investment dynamic system is set,and the existence and unique of solution for semi-discrete system are discussed.

建立了投资动力系统的一个非线性半离散模型,并讨论了半离散系统解的存在唯一性,给出了线性半离散系统稳定的一些充分条件。

Therefore, it is necessary to explain the usage condition of the theorem of uniqueness of solution of elasticity.

为此,需要对弹性力学解的唯一性定理的适用条件适当加以说明。

This paper presents the statements of the Uniqueness Theorem for magnetic field at first, then proves it in Conlomb Norms and general conditions. The latter is only a special one under the normal case.

本文首先给出静磁场唯一性定理的表述形式,对一般情况下和库仑规范条件▽A=0下的情况均作了证明,得出后者只是一般情况下的一个特例。

At each time step, the variational formulation of the semidiscrete problem is derived.

借助人工边界条件给出半离散化问题的变分形式,讨论了所得的变分问题解的存在性与唯一性。

In this paper,we prove the existence and uniqueness of global weak solution of Non Newton Filtration equation with a kind of nonlinear boundary condition.

证明了一类具有非线性边值条件的非牛顿渗流方程解的存在和唯一性。

In Lipschitz condition of the signal transmission functions, the uniqueness of the equilibrium for MAM is proved respectively by using M matrix properties and using homeomorphous map.

在信号传递函数满足李普希兹条件下,分别利用M矩阵性质及同胚映射证明了平衡点的唯一性。

Insection 4.3, semi-discrete and fully discrete Fourier spectral and pseudo-spectral schemes are constructed. The convergence and stability for the schemes are proved, and the error estimates are obtained.Chapter 5, consider the damped coupled generalized nonlinear wave equations. In section 5.2, by coupled a priori estimates and Galerkin method, prove the existence and uniqueness of the global smooth solution for the periodic initial value problem and obtain the existence of global attractors.

第四章,考虑一类具耗散的广义KdV方程组的周期初值问题,在第二节中证明了整体光滑解的存在性和唯一性,得到整体吸引子;在第三节中构造了半离散和全离散的Fourier谱格式和拟谱格式,在整体光滑解存在的条件下,证明了这些格式解的收敛性,并得到了误差估计。

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