查询词典 associated equation

This text studies the obstacle problems associated with nonhomogeneous elliptic equation, gives the definition of solutions of second order degenerate nonhomogeneous obstacle problems, and making use of the Poincaré inequality and others,acquire some properties of these solutions and their lead number,filling up the blank of an nonhomogeneous obstacle problem research.

本文研究了非齐次椭圆方程的障碍问题，给出了二阶非齐次障碍问题解的定义，利用Poincar啨不等式，获得非齐次障碍问题的解及其导数的一些性质，填补了对非齐次障碍问题研究的空白。

Then the delay is used in circadian model. Using the delay as a argument, the distribution of the roots of the characteristic equation associated with the model under light is analyzed. Then the stable and Hopf bifurcation condition of the circadian model with delay is obtained.

然后，将时滞引入到昼夜节律系统模型后，以滞量为参数，讨论光照昼夜节律模型线性部分特征方程根的分布情况，得到该系统的稳定性和Hopf分支产生的条件。

The control architecture and associated error equation are built for adaptive output feedback control. Then, a stable weight adjust rule for the no-line NN is derived by Lyapunov theory, thus assuring the stability of the closed-loop system.

NN的在线补偿规律由Lyapunov稳定性方法得到，保证了系统的稳定性，可以有效补偿模型参数不确定和未建模动态引起的控制偏差。

By analyzing the distribution of the zeros to the transcendental characteristic equation associated with the trivial.solution,we obtain some- sufficient conditions on the stability and instability of the trivial solution.These results are generalized to n-unit neural networks by means of space decomposition in this Chapter.

在第二章中，我们讨论了不带自反馈与带自反馈的3元环状神经网络系统平凡解所对应超越特征方程的根的分布情况，确定了系统平凡解稳定与不稳定的充分条件，并利用空间分解的方法把相应的结果推广到n元环状神经网络系统。

Secondly, by linearizing the system at the unique positive equilibrium solution and analyzing the associated characteristic equation, it is found that the positive equilibrium solution is asymptotically stable when the delay equals to zero and when it is increased to certain critical value, the positive equilibrium solution will loss the stability and a spatially heterohomogeneous periodic solution will bifurcate from this positive equilibrium solution.

通过在系统唯一的正平衡解处线性化系统和分析相应的特征方程，发现在时滞等于零时该正平衡解是渐近稳定的，当时滞逐渐增大到某个临界值时该正平衡解将失去稳定性而且在该平衡解处分支出空间非齐次的周期解。

For each equation like this, there is an equilibrium constant associated with it that determines this.

为每个方程这样，有一个平衡常数与此相关的决定。

In the thesis, the controversial ill-conditioning associated with the method of fundamental solutions is reinterpreted in terms of the theory for the Fredholm integral equation of the first kind.

文中应用第一类Fredholm积分方程理论解释了基本解方法的病态性，并建议使用正则化方法克服问题的病态性。

In this paper well use this covariant theory to discuss the prolongation structure of the integrable the inhomogeneous equation of the reaction-diffusion type: By establishing SL(2,R)principal bundle and its associated bundle and finding both 1-dimensional realization and 2-dimensional realization of its algera ,we can successfully give its AKNS-equations and Backlund transformation.

本文就是利用这套协变的延拓结构方法讨论了可积的非其次反应扩散型方程的延拓结构。通过建立SL(2，R)主丛及其伴丛，并找到其李代数的1维和2维实现，我们成功得到了其反散射方程和Backlund变换。

We prove that every isolated invariant set of averaged autonomous equation can continuous to an isolated invariant set of skew-product flow associated to the non-autonomous equations.

证明了平均自治方程的每个孤立紧不变集可以连续到非自治方程的斜积半流的孤立紧不变集上。

Preliminary numerical results for the Laplace equation and Navier system are presented, and tricky issues associated with these methods, such as the ill-conditioning with the interpolation matrix and effect of shape parameter, are investigated.

文中给出了Laplace方程和Navier方程组的数值结果，考察了插值矩阵的病态性以及径向基函数中形参数的影响。

In the negative and interrogative forms, of course, this is identical to the non-emphatic forms.

。但是，在否定句或疑问句里，这种带有"do"的方法表达的效果却没有什么强调的意思。

Go down on one's knees;kneel down

屈膝跪下。。。下跪祈祷