指数方程

For the simple network with several routers, we propose a discrete time feedback control system model and a set of recursive equations to describe it. The numerical examples about the bifurcation of average and instantaneous queue size along with the variety of exponential averaging weight w, RED control parameter qmax, pmax and system parameter K are shown.

对拥有多个路由器的简单网络，提出了离散时间反馈控制系统模型，推导出可以研究网络非线性本质的递归方程，针对指数平均权值w，RED控制参数qmax， pmax和系统参数K的变化，进行了平均和瞬时队列长度的分岔数值实验。

The deficit distribution function at final ruin is obtained by using the key renewal theory.

首先应用更新方程理论研究最终破产时赤字的分布，然后应用随机模拟的知识研究有限时间内破产赤字的经验分布，并在假设索赔是指数分布时，考察了2个具体的、在不同时间和不同初始盈余下破产赤字的经验分布，得到一个值得注意的结论，有助于加深对有限时间破产赤字分布的了解。

The maximum growth rate is 0 22 cm d , and appears in ramification period Its community structure is reasonable rhomboid structure The leaf stem ratio will increase with increasing the height of plant .

出现在分枝期末期；绝对生长速率和相对生长速率在整个生育期内呈单峰曲线，最大值出现在分枝前期；其群落结构为菱形结构，是一个合理的株型结构；叶茎比随离地高度的增加而增加，符合指数增长方程。

Exponential operator equation; super-stability ; Ger-stability; asympotic behavior; ring homomorphism

基础科学，数学，数学分析指数算子方程；超稳定性； Ger-稳定性；环同态；渐进性态

Using DRG,we solved the KPZequation satisfy conservation law and long-range spatial and long-timecorrelation,the roughen and dynamic exponent was found,the roughentransition was also discussed.

本文利用动力重整化群方法研究了具有长程空间相关和长程时间、空间相关条件下的满足守恒律的生长方程，得到了粗化和动力学标度指数，并讨论了长程时空相关对生长表面粗化的影响[36，34]。

Results of analysis show that Generalized Paris Law can consider the complex crack propagation in the material of the pavement structure. The fatigue life of the pavement increases with increasing thickness of surface layer in a power function. Use of a thicker surface layer may extend the service life of the asphalt pavement. The fatigue life increases with decreasing modulus of surface layer in a power function with a negative exponent. However, since reduced modulus would scarify the structural strength and might cause rutting-related distress, caution should be taken when using low modulus materials for improving fatigue performance of asphalt pavements. The fatigue life increases with increasing modulus of base material in a power function. However, the fatigue life can not infinitely increases with increasing modulus of the base.

计算与分析表明：广义Paris公式可以考虑沥青路面结构内材料复杂的裂缝扩展：沥青面层的疲劳寿命随着面层厚度的增加以幂函数的形式增加，适当增加沥青面层厚度可以提高路面的使用寿命；沥青面层的疲劳寿命随着面层材料模量的降低以负指数的幂函数形式增加；由于材料模量的降低将牺牲路面的整体强度并可能引起路面车辙类损坏，以此提高疲劳寿命的方法应慎重对待；沥青面层的疲劳寿命随着基层材料模量的增加呈幂函数的形式增加，但由疲劳方程可以看出，寿命并不是随基层材料模量的增加而无限的增加，疲劳曲线在经过一个上升段后，逐渐趋于一个常数值，这说明，这时基层模量对寿命已不作关键性贡献；随着底基层厚度的增加，面层的疲劳寿命近似地呈线性函数增加，但效果并不很明显。

In chapter 6, we discussed the wavefront solution of a kind of lattice differential equation which derives from diverse fields. We obtained the wavefront solution by using sup-subsolution iteration when the coupled functions are quasimonotone, and by applying Schauder fixed point theorem, we also obtained the wavefront solution when the coupled functions have a different quasimonotone property.

在第六章中，我们对一类从实际问题中抽象出来的二阶时滞格微分方程的行波解进行了讨论，用单调迭代的方法讨论了耦合函数具有拟单调性时行波解的存在性，用不动点的方法讨论了耦合函数具有指数拟单调性时行波解的存在性。

The second part of this paper is to consider the Fujita critical exponent of the semilinear parabolic equation with Neumann boundary value on unbounded daomain.

第二部分是对无界区域上带Neumann边值的半线性抛物方程的Fujita临界指数的研究。

The exponential stability of Euler-Maruyama method for the stochastic differential variable delay equation with jumps is mainly studied.

研究了带跳变时滞随机微分方程Euler-Maruyama方法的指数稳定性。

It's form is the contribution of the Reynolds stress tensor and magnetic fluctuating tensor.

主要的表现是：第一，Reynolds stress 张量和磁扰动张量的径向分量贡献给压强，引起太阳内部流体静力学平衡方程和太阳内部热力学变量的改变，从而导致温度、密度、内能、绝热指数以及绝热温度梯度等的变化。

In the United States, chronic alcoholism and hepatitis C are the most common ones.

在美国，慢性酒精中毒，肝炎是最常见的。

If you have any questions, you can contact me anytime.

如果有任何问题，你可以随时联系我。