一般方程

In terms of relevant relationship to equation of motion of the elastodynamics plane problem for an orthotropic anisotropic body, the universal representations of analytical solutions are obtained with the method of self-similar functions.

根据正交异性体弹性动力学平面问题运动方程的相应关系，采用自相似函数的方法可以获得解析解的一般表达式。

II.Based on the above fundamental solutions,the fundamental solutions ofplane and antiplane problems in two dimensional elasticity body are constructedunitedly by using the reduce dimension technique of integration and consideringtwo dimensional problems as particular cases of three dimensional ones.

将二维问题视为三维问题的特殊情形，由三维问题的基本解，采用积分降维技巧，统一导出了平面问题及反平面问题的单位集中不连续位移基本解；建立了一般边界积分方程；完成了相应的不连续位移边界元方法；给出了在断裂力学中的应用。

The uniformly valid asymptotic expansion of the solution to a class of time delay differential equations with damping term and general forcing term was obtained and a simple analytic approximate expression for the resonance solution was given.

对于一类带阻尼和一般力的时滞微分方程问题求得一致有效渐近展开式，给出了共振解筒洁的近似解析表达公式。

Moreover, the criterion of asymptotic stability of the zero solution are established for the SDDE with a general form.

同时，还建立了一般形式下的随机延迟微分方程零解渐近稳定的判别条件。

Based on linear bending theory of thin elastic plate and fundamental solution constructed with the general solution principle of biharmonic equation, a meshless method was developed for establishing a computational format of numerical solution of thin plate bending.

基于弹性薄板的线性弯曲理论和重调和方程的一般解理论构造的基本解，建立无网格法求解薄板弯曲问题的数值计算格式。

The bilinear equations and bilinear B〓cklund transformation for the mKdV-SineGordon equation are obtained, and an ordinary form of B〓cklund transformation is given in passing.

仍以Toda链、Blaszak-Marciniak链和Ablowitz-Ladik链为例，但该方法也完全适用于下述更一般形式的谱问题：ψφ=λφ，ψ=〓，s 本文还对mKdV-SineGordon方程的求解进行了研究。

In this paper, some especial higher power equation be enumerated, just like Binomial equation or Reciprocal equation, for people can't fine common extract roots formula about five and above power equation.

摘要基于五次或五次以上方程没有一般通用的求根公式，本文列举了一些特殊的高次方程的解法。你知道它的英文吗？

In this paper, some especial higher power equation be enumerated, just like Binomial equation or Reciprocal equation , for people cannot fine common extract roots formula about five and above power equation .

摘要基于五次或五次以上方程没有一般通用的求根公式，本文列举了一些特殊的高次方程的解法。

Through a construction of a distribution function,the normal form of KFVS is deduced based on the nocollision Boltzmann equation .

通过构造一个分布函数，利用无碰撞的 Boltzmann方程，推导出求解一般形式的KFVS方法，对一维溃坝进行了模拟，并与精确解进行了比较，说明了这种方法的进步性和可行性

In this paper, we expand the eigenvalue of Poisson equation using nonconforrn-ing Q1rot element. The principal term of error we get is not negative. In general, the approximate eigenvalue is the upper bound, but the approximate eigenvalue may be the lower bound when the principal term is zero.

本论文对Poisson方程的特征值采用方形旋转双线性非协调元Q_1~(rot元进行展开，得出的误差主项大于或等于零，因此在一般情况下近似特征值是上界，但当主项等于零时近似特征值可能是下界。

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