微分

Under the most elementary conditions for backward stochastic differential equation introduced by Peng S., we put forward and prove a general converse comparison theorem.

在由彭实戈引入的倒向随机微分方程的最基本的条件下，提出并证明了一个一般的反比较定理。

In this paper, we study the comparison theorem of backward doubly stochastic differ-ential equtions with continuous coefficient by Tanaka-Meyer formula.

利用Tanaka-Meyer公式研究了双重倒向随机微分方程在连续条件下的比较定理。

By using Floquet theory, Comparison theorem of impulsivedifferential equation and analytic method, we investigate the dynamics of thesystem in detail.

通过利用脉冲微分方程的Floquet理论和比较原理，证明了当脉冲周期小于某个临界值时，系统存在一个全局渐近稳定的害虫根除周期解，最后给出了系统持续生存的条件。3。

In this article, we discuss the solution ofbackward stochastic differential equation and the generalizes comparison theorem and concernedthe relation between g-Expection and the minimum expection.

本文主要讨论如上倒向随机微分方程的解的情况及相应的g-期望的性质以及其在数学金融方面的应用。

Based on Floquet theory and the comparison theorem of impulsive differential equation, the analysis of global asymptotic stability of the "infectionfree" periodic solution was given.

运用Floquet乘子理论和脉冲微分方程比较定理，证明了该周期解的全局渐近稳定性，并获得了系统一致持续生存的条件。

Based on the Winkler's foundation model and deformation compatibility condition of pile and soil, the horizontal displacement control equation of a single pile is established. According to the differential relations between the internal forces and displacements, the two-stage method is adopted to solve the equations.

针对此类问题，基于Winkler地基模型以及桩-土变形协调条件，建立单桩水平位移控制方程，根据内力与位移的微分关系，采用两阶段方法进行求解。

Based on the static balance among the pile and soil, the basic differential equations of the displacements of the pile and soil were deduced. Considering the compatibility condition of stress and strain , based on the vertical deformation of pile and pile-surrounding soil, the analytical formulas calculating the pile friction were drew.

本文通过建立复合地基中桩体和桩周土的基本微分方程，考虑应力协调条件，假设桩周土的位移模式，在此基础上推导出桩侧摩阻力和桩身轴力的解析式，并进一步研究相关影响因素。

In compensating error method, error Jabobin matrix has been calculated by all-differential coefficient constricting and simplified.

在误差补偿算法上，通过微分构造的方式计算出误差雅克比矩阵，简化了误差雅克比矩阵的计算量。

On the one hand, Lagrange hit upon the new idea to redefine the complete integral when he was inspired by his study on the first-order partial differential equation with the method of variation of constants.

在分析、比较欧拉和拉格朗日完全积分定义的基础上，依据原始文献，重点考究了拉格朗日重新定义偏微分方程完全积分的原因和动机。

If a PDE pass Painlev test, it will satisfy the essential condition of completely integrable; otherwise, the PDE is not completely integrable.

Weiss、Tabor和Carnevale提出的WTC算法给出了检验一个偏微分方程是否完全可积的必要条件-检验一个方程是否具有Painlev 性质。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。