微分

The inelastic scattering angular distributions of discrete levels and double differential cross sections were calculated and analyzed by using the distorted wave Born approximation theory ,the unified Hauser-Feshbach model and the exciton model.

应用得到的光学模型势参量，根据光学模型、统一的Hauser-Feshbach和激子模型理论以及扭曲波玻恩近似理论，系统计算和分析了中子与58，60Ni反应的非弹散射角分布和双微分截面，理论结果与实验很好地一致。

The exact form of exterior boundary value problems for plane potential problem is established with variational principle.

使用变分法确立平面 Laplace外问题的确切形式；在此基础上，为了避免使用无限区域上的 Green公式，通过构造紧支集上的无穷可微函数，获得满足非齐次控制微分方程的特解的重要结果。

On the basis of this mathematical tools, the differential invariants of Laplace boundary operator have been constructed.

这种方法实际上适用于图象处理中相当广泛的的微分算子。

The existence of solutions for multi-point boundary value problem with p-Laplacian operator is investigated by using monotone iterative method, h is proved that boundary value problem has at least one positive solution under suitable conditions.

研究带p-Laplace算子的非线性微分方程的多点边值问题解的存在性，应用单调迭代，给出了这类边值问题存在解的充分条件，还给出了向正解靠近的单调集。

The existence of solutions to a type of nonlinear ordinary differential equations four-point boundary value problems with p-Laplace operator was studied by means of the extension of Mawhin s continuation theorem with sufficient conditions obtained for the existence of solution.

利用Mawhin连续引理的推广形式，研究一类具 p-Laplace算子的非线性常微分方程四点边值问题解的存在性，得到了方程解存在的充分条件。

In this paper perturbation of eigenvalue and eigenfunction for higher order ordinary differential equation in the case of boundary perturbation combined with operator perturbation we considered.

本文研究了在边界和算子摄动相结合的情况下高阶常微分方程特征值与特征函数的摄动，把摄动问题A_6，μ的特征值λ_ε，μ和特征函数y_6，μ按两参数ε、μ的次幂展开，并且证明这些展开式当ε、μ充分小时是收敛的。

Transforming the boundary value problem with p-Laplace operator into operator equation, giving propriety conditions for different value of p,and using an extension of Mawhin s continuation theorem,the existence of solution of a boundary value problem with p-Laplace operator is proved, and the sufficient conditions for solution existence are obtained.

将具p-Laplace算子的边值问题转化成算子方程，对于p的不同取值给出适当的条件。利用Mawhin连续引理的推广形式，证明了一类具p-Laplace算子的微分方程边值问题解的存在性，得到了一系列解存在的充分条件

The cutoff frequency of heteromophic waveguide in special structure is solved with the matching of electric and magnetic field on the invented boundary by vector partial differen-tial operator theory.

该文用矢量偏微分算子理论通过虚拟边界的电场和磁场的匹配求解特殊结构的异形波导的截止频率，这一方法可以精确而方便地求出几乎所有模式的截止频率。

The calculation formulas of the boundary point method were deduced, based on the magnetic field.

从描述电磁场的偏微分方程出发，推导出相应的边界积分方程；通过对边界积分方程的离散，建立特解矩阵，进而推导出稀土永磁齿轮传动磁场的边界点方法计算公式。

In this paper the boundary value problem of integro-differential equation is discussed and several basic theories of it are proved.

利用上解和下解的概念讨论了积分微分方程的边值问题，给出了几个基本定理。

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。