并且上方程的任二线性无关解至少有一零点收敛指数为无穷。
And for its arbitrary two linearly independent solutions , at least one is of infinite exponent of convergence of zeros.
在一定条件下，得到了其解的级及零点收敛指数的精确估计。
Under certain conditions, it obtaines the exact estimate of the order and the convergence of zeros of the solutions of the equations.
本文研究了线性微分方程解的超级和二级不同零点收敛指数。
In this thesis, we investigate the hyper-order and the hyper-exponent of convergence of the distinct zeros of solutions of linear differential equations.
本文研究了几类微分方程解的迭代增长级及零点迭代收敛指数。
In this paper, we investigate the iterated order and iterated convergence exponent to zero sequence of the solutions of some classes of differential equations.
主要讨论了高阶齐次线性微分方程解取小函数的点的收敛指数。
In this paper, we investigate the problem of the convergence of zeros of the solution of higher order linear differential equation to small order of growth function.
主要讨论了高阶齐次线性微分方程解取小函数的点的收敛指数。
The Exponential Convergence and Boundedness of the Solutions for Functional Differential Equations;
在一定的条件下，得到了上述方程解的增长级与零点收敛指数的精确估计。
Under some conditions, we obtain the precise estimates of the orders of growth and of the exponents of convergence of the zero - sequence of the solutions of the above equations.
研究了几类K阶整系数线性微分方程解的超级、零点收敛指数和零点超收敛指数，得到一些精确的结果。
The hyper order, the exponent of convergence and the hyper-exponent of convergence of zeros of solutions for some types of K-order linear differential equations with entire coefficients are discussed.
证明了在存在噪声干扰及网络设计误差的情况下，网络训练过程具有指数收敛性和鲁棒平稳性。
The exponential convergence of the training process and its robust stability to the noise perturbances and the network design errors are also proved.
特别对应用广泛的曲指数族，本文在较易实际验证的条件下给出了相应的EM算法的收敛结果。
Especially, we give some results of the convergence of the EM algorithm for the curved exponential family under the conditions checked easily.
首先利用非对称的LINEX损失函数对双指数分布族刻度参数进行了经验贝叶斯估计，并讨论了该估计的性质，给出了收敛速度。
First, we obtain the empirical Bayesian estimator of the scale parameter for the double exponential distribution based on LINEX loss function and the convergence rate of the estimate.
利用李亚普诺夫函数分析了误差系统的稳定性，说明误差是指数收敛的。
The stability of the error system is analyzed by a Lyapunov function, which shows that the errors are exponential convergent.
证明了系统的所有信号均有界且全局指数收敛至原点的一个邻域。
All signals of the system are bounded and exponentially converge to the neighborhood of the origin.
提出一种非线性降维状态观测器设计方案，并从理论上证明了状态观测误差的指数收敛性。
A new design method of nonlinear reduced order state observer is proposed, and the exponential convergence is proved for the proposed state observer.
并证明了多维指数分布类在弱收敛下的。
We also proved that the class of the multivariate exponential distribution is closed under weak convergence.
本文对减执行器水面舰船系统提出一种具有指数收敛率的光滑时变反馈控制律 ，使得闭环系统被全局镇定 。
Moreover, the control laws using smooth time varying feedback do not stabilize the system at exponential convergence rate.
该降维观测器能保证估计状态以指数规律渐近趋近系统的真实状态，并且通过观测器增益参数的适当选取，可使状态估计误差以指定的收敛速度趋于零。
By selecting the gain of the observer, the observer can guarantee the estimated states converge exponentially to the true states of the system with arbitrary rate of convergence.
随着差异沉降进一步增大，接口处应力以指数形式迅速增大，呈现不收敛趋势。
When differential settlement further increases, the stress of intersection interfaces increases in exponential form, which shows great divergent trend.
通过李亚普诺夫稳定理论证明跟踪误差是指数收敛的，仿真结果验证了这种方法的有效性。
It is showed by the Lyapunov stability theorem that the tracking errors converge exponentially. The simulation results illustrate the efficiency of this method.
实际系统的计算结果表明，此算法的迭代收敛次数稳定，与系统规模关系不大，在求解大规模系统无功优化问题时，其性能优于具有指数时间复杂性的单纯性法。
The computation results of practical power systems show that the number of iterations of this algorithm is independent of system's size, and it is superior to simplex...
最后，基于这个指数收敛性质，我们得到了非线性边界层问题的稳定性。
Then, based on this property, nonlinear stability of the boundary layers is obtained by bootstrap argument.
最后，基于这个指数收敛性质，我们得到了非线性边界层问题的稳定性。
Then, based on this property, nonlinear stability of the boundary layers is obtained by bootstrap argument.
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