唯一性定理

Under a resonance condition,a unique existence of generalized solution to the Direchlet boundary value problem of the semi-linear elliptic partial differential equations is given,and this extended partially the results that was known.

利用极小极大原理，在共振条件下，证明了一个半线性椭圆偏微分方程Direchlet边值问题广义解的存在唯一性定理，从而推广了已知的一些结果。

It indicates that singular solution exists in solving problems of elasticity, which is inconsistent to the theorem of uniqueness of solution.

结果表明，在弹性力学问题中存在奇异解的情况，这与弹性力学解的唯一性定理是不一致的。

Therefore, it is necessary to explain the usage condition of the theorem of uniqueness of solution of elasticity.

为此，需要对弹性力学解的唯一性定理的适用条件适当加以说明。

The Uniqueness Theorem is the theoretical basis to solve the problem of static electric and magnetic field.

唯一性定理是解决静电磁场问题的理论依据。

We also proved corresponding results on normal functions and a uniqueness theorem of entire functions.

此外，还证明了相应于正规函数以及整函数的唯一性定理方面的的结果。

By using these maximum principles,the uniqueness theorem and gradient estimates for the solutions of some fourth order parabolic equations are obtained.

文摘：文中证明了四阶非线性抛物方程的最大值原理，利用这些最大值原理获得了一些四阶抛物型方程的解的唯一性定理和解的梯度估计。

This paper presents the statements of the Uniqueness Theorem for magnetic field at first, then proves it in Conlomb Norms and general conditions. The latter is only a special one under the normal case.

本文首先给出静磁场唯一性定理的表述形式，对一般情况下和库仑规范条件▽A=0下的情况均作了证明，得出后者只是一般情况下的一个特例。

It is a usual presumption that distribution function can decide characteristic function and characteristic function can also decide the distribution function by the uniqueness theorem.

但通过本文引入的反例，我们可以知道，唯一性定理在有限区间上不成立，不过在无穷限区间上我们仍可以说，分布函数和特征函数是一一对应的。

For instance, we obtained the existence and uniqueness theorem and several judgement theorems on stability and instability for several types of nonlinear singular systems. Using Z-transformation, we estabilished the response formula of discrete singular systems with delay, and obtained the sufficient and necessary condition of rearchability.

如我们得到了某些非线性广义系统解的存在唯一性定理，及稳定与渐近稳定的判据；利用Z变换方法，得到了滞后离散广义系统的一般响应公式，进而得到了局部可达与局部能控的充要条件等。

The Uniqueness Theorem for electric field and its proof is presented in detail in textbooks, but the Uniqueness Theorem for magnetic isn't given enough infor mation for us.

课本中给出了静电场唯一性定理的表述形式及其严格证明，对于磁场部分则是点到即止。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。