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The result indicates that the damping term drastically changes the asymptotic behavior of the hyperbolic equation.

分析结果表明,阻尼项强烈地改变双曲型方程解的渐近行为,强阻尼双曲型方程组的能量E随时间按指数衰减,即E≤Cexp。

The free-surface or interfacial waves due to a submerged body in an incompressible fluid are investigated by the methods of integral transform and asymptotic analysis.

运用积分变换和渐近分析方法研究不可压流体中潜体生成的扰动在流体自由面或界面远场上的波动效应。

Integral inequality is an useful tool of researching asymptotic stability of the closed orbit.

研究周期轨的渐近稳定性的一个重要工具是积分不等式。

In Chapter 3, we consider a series of continuous Lotka-Volterra competitive system with delayed density dependence and delayed interspecific competition.

本文第三章分析了一系列具有滞后种内竞争和滞后种间竞争的Lotka-Volterra竞争连续系统的渐近行为。

In this method, an interim variable is defined by combining one variable of each subsystem. The interim variable is used to construct the sliding-mode function and the total control law can be derived to guarantee the equilibrium point is reachable in finite time. Using LaSalle invariance theorem, it can be proved further that the equilibrium field only includes one equilibrium point and the equilibrium point is asymptotically stable.

该方法将各个子系统的一个变量进行组合定义成一个中间变量,然后从这个中间变量出发构造滑模函数,通过求取总的控制量保证中间变量在有限时间内收敛到平衡点;进一步利用LaSalle不变性原理证明该收敛域内只有一个平衡点且是渐近稳定的。

Using Fourier series expansion,Laplace transform and state space technique,the exactand closed form TFM solutions of natural frequency and buckling loads of composite cylindricalshells under arbitrary boundary conditions and external disturbances are obtained.

基于线弹性小变形理论,利用Fourier级数展开、Laplace变换和摄动方法,建立了各向同性材料和复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。

Laplace transform is used to obtain the analytical solut...

用拉普拉斯变换求出了此数学模型的解析解及长、短时渐近解,分析了压力动态特征和参数的影响。

By using a Liapunov function and Lasalle-Liapunov theory, we prove the global stabilites of equilibrium of SIR model with continuous vaccination.

利用构造Liapunov函数和Lasalle不变集原理,证明了具有连续预防接种的SIR模型无病平衡点和正平衡点的全局渐近稳定性。

Sufficient conditions for existence of positive periodic solutions of these systems are established and we investigate a stochastic Lotka-Volterra ecosystem, by use of the mixed quasi-monotone theory and Liapunov function method, some new results are obtained.

最后,我们研究了n种群随机Lotka-Volterra生态模型,利用混合单调流理论和It〓型随机微分方程知识,得到了其解过程的均方渐近稳定性和强生态稳定性的结果。

It is shown that the asymptotically limiting distribution of the residual cusum test statistic is still the sup of a standard Brownian bridge under null hypothesis.

研究表明如果原假设条件成立,则残量累积和统计量的渐近极限分布仍然是一个标准布朗桥的上确界。

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推荐网络例句

The X-ray diffract was used to analyze the crystal structure of the composite. Results show that after the talc was treated with blend coupling agent, the crystal structure of talc changed, and effect Intercalation phenomenon.

通过X射线衍射分析可知,用混合偶联剂对滑石粉进行预处理后,滑石粉晶体结构发生改变,产生了插层现象,使PP/滑石粉复合材料为纳米复合材料。

An authentic Maui wedding might require the services of a 'kahu', which is a Hawaiian minister.

毛伊可能需要一个真实婚礼服务'kahu',这是夏威夷部长。

Funds involving such cases are limited and there is no huge capital flight.

与此有关的资金数额是相对少数的,并没有引发资本外逃现象。