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We show that the positive solution of the associated stochastic differential equation does not explode to infinity in a finite time.

文中给出了随机微分方程存在唯一正解，且解在有限时间内不爆破。

The squeezing property of the nonlinear semi-group associated with this equation and the existence of exponential attractor are proved in the paper.

证明了该方程有关的非线形半群的挤压性质和指数吸引子的存在性。

Finally we analyze the results of the linear equation by using the modified equation associated with GRP scheme.

进一步地，我们将用modified方程来分析线性方程的数值实(来源：Aad5dBC论文网www.abclunwen.com)验结果。

By analyzing the distribution of roots of the associated characteristic equation, its linear stability of the zero equilibrium is investigated.

在分析平衡解稳定性时，首先利用Yongli Song中的变量代换方法化简模型，再分析其对应线性方程的特征根分布来确定平衡解的稳定性，其中运用了Cooke和Grossman写的引理。

In this paper, the particle breakage rule and breakage energy are studied during triaxial shearing, on which the associated equation is established.

论文根据堆石料的三轴试验成果，研究了粗粒土三轴剪切过程中的颗粒破碎规律和破碎耗能，提出了相关计算公式。

The main contents of this paper are organized as follows. At first, we investi-gate the stability and Hopf bifurcations by analyzing the distribution of the rootsof associated characteristic equation.

本文研究的主要内容为：首先通过分析相应特征方程根的情况，来考察不动点的稳定性及Hopf分支存在性。

It then deduces the associated Euler-Lagrange equation and established the corresponding diffusion equation. Finally, a finite difference inpainting algorithm is proposed.

根据所建立的修补模型，利用变分原理推导出对应的Euler-Lagrange方程，建立了与之对应的扩散方程。

In the second chapter, the concept of an integrated abstract delay equation is introduced, and the equivalence of the well - posedness of an integrated delay equation and an associated integrated Cauchy problem is derived.

在第二章中，引入了积分抽象时滞方程的概念，并且得到积分抽象时滞方程的适定性与相应的积分柯西问题适定性等价。

As an application, a solution of the Manakov-type equation associated with a 3×3 spectral problem is given by using the results on the third coupled equations of the matrix AKNS hierarchy.

作为这样推广的例子，可以从矩阵型AKNS族n=3的结果，给出了一个与3×3谱问题相应的Manakov型方程的解。

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

His female bullfighter Lydia gradually Health love, but she was in a vegetative state after the Bulls Zhuangcheng away from her, just because Lydia's ex-boyfriend showed more affectionate than he is like love.

他对女斗牛士莉迪亚渐生爱意，却在她被公牛撞成植物人后离她而去，仅仅因为莉迪亚的前男友表现出好似比他更深情的爱。

I know of none which are not easy to answer, but what I am trying to do now is only by a series of hints to throw some light on the narrow path of legal doctrine, and upon two pitfalls which, as it seems to me, lie perilously near to it.

我不认为有什么难以回答的问题，但我现在要做的仅仅是通过一系列线索，来给法律理论的狭窄路径以及在我看来离它近得危险的两个陷阱提供一些启示。