微分的

The finite difference is used to approximate differential operation; the reflectance map equation described by the first order nonlinear differential equation is transformed into an algebraic equation about the unknown surface heights, and then the objective equation is constructed by the reflectance map equation and gradient information of image. Moreover, the Newton iterative algorithm is utilized to obtain the numerical solution and 3D shape of the surface.

采用有限差分近似微分运算，将一阶非线性微分方程所描述的反射图方程转化为关于未知表面高度的代数方程，再由反射图方程和图像梯度信息构造目标方程，进而用Newton迭代算法求出该方程的数值解，得到表面三维形状。

At the same time, the variational stability of bounded variation solutions at the effect of perturbation and non-perturbation for the impulsive differential system are discussed, the Ljapunov type theorems for variational stability and asymptotically variational stability for impulsive differential systems are established.

同时，讨论了在无扰动和有扰动的情况下，这类固定时刻脉冲微分方程有界变差解的变筹稳定性，建立了此类微分系统有界变差解变差稳定性和渐近变界稳定性的两个Ljapunov型定理。

The theory of boundedness is one of important branches of differential equations.

常微分方程有界性理论是常微分方程理论中的一个十分重要的分支，它具有深刻的物理背景和数学模型。

In chapter two, we study the boundedness of impulsive ordinary differential equati...

第二章，研究了脉冲常微分方程及脉冲泛函微分方程的有界性，得到了方程解的一致有界及最终一致有界的几个充分条件。

It is also shown for the first time that DQEM could be regarded as the combinations of the sub-domain method with the special mixed collocation method.

微分求积法和微分求积单元法是在近年里发展起来，并正在进一步发展的一种数值计算方法，本文对这两种方法的原理和它们在结构力学中的应用进行了较深入系统地研究。

The Adolph accurate dynamic model cannot describe the movement of the reciprocating pump valve at the moment of opening, thereby a new accurate dynamic model for describing the motion law of an automatic conical valve is set up, in consideration of the condensability of the fluid, the Westphal's effect, the condition of the continuous flow of fluid and the dynamic characteristic of pump valve's motion.

针对阿道尔夫往复泵泵阀精确运动微分方程在泵阀开启瞬间存在奇点的不足，综合考虑液体可压缩性、魏氏效应、液体连续流条件及泵阀运动的动力特性，建立了描述往复泵自动锥形阀运动规律的精确运动微分方程。

In the field of science and technology such as physics, biology, cybernation, electronics and so on, there are plenty of problems described with differential equations, so is sphere of sociology.

在自然科学以及技术科学，例如物理，生物学，自动控制，电子技术等等领域中，都提出了大量的微分方程问题，同样在社会科学的一些领域里也存在着微分方程的问题。

Then the integral-differential equations were reduced to the form with degenerate core by expanding Green＇ s function as series of characteristic function.

再使用展开法求出格林函数，即将格林函数展开为特征函数的级数形式，积分微分方程就成为具有退化核的形式，从而容易得到关于时间的非线性常微分方程组。

Some necessary and sufficient conditions for the oscillation of solutions of delay hyperbolic differential equation s are obtained.

建立了一类时滞双曲型微分方程解的振动充要条件，揭示了这类双曲方程与相应泛函微分方程解的振动的等价性。

At the same time, numerical solutions of delay differential equation can also give birth to EPCA.

常微分方程的数值求解可以自然的产生EPCA，时滞微分方程的数值求解也可以产生EPCA。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。