查询词典 completely continuous operator

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。

Are visual aids (including appropriate boundary samples) and operator instructions readily accessible by the operators at each station and being followed?

在所有的工位上，所有的外观检具以及作业指导书是否容易让作业员获得？并且是否得到有效执行？

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。

Preserved-amplitude migration ; One-way wave equation ; Fourier finite difference ; Migration operator ; Boundary conditions ; Imaging conditions

保幅偏移；单程波方程；傅里叶有限差分；偏移算子；边界条件；成像条件

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。

According to the Perzyna elastic viscoplastic constitutive relation and the mixed strain hardening models,a consistent tangent operator concept-based implicit boundary element method was presented.

该方法根据Perzyna弹黏塑性本构关系，基于混合硬化模型，采用隐式欧拉计算格式，得出了两种常用流动函数下弹黏塑性的径向返回算法和一致切线算子。

Based on image statistical characteristic, the algorithm can search automatically the boundary start-point using Sobel operator and special template operation, then according to the connection status of every boundary point in its 8-connection neighbor field, seek automatically the search direction, form the whole data collection of a target boundary outline.

该算法依据目标图象特征，在二值图象中利用Sobel算子和特定的模板操作，自适应搜索边界起点；然后，按照每个边界点在其8邻域内的连通情况，自动寻找搜索方向，形成了完整目标边界轮廓数据集。

Finaly, in the case of the nonlinearities being singular at 0, by utilizing the mountain-pass theorem and some other variational methods, we get the existence of nontrivial solutions of the equations under the Dirichlet boundary condition, where the operator diva(x,u is the p-Laplacian.

最后，我们通过应用山路引理等变分方法，研究当算子diva(x，▽u为p-Laplacian并且非线性项在原点有奇异性时，方程在Dirichlet边值条件下非平凡解的存在性。

R~n(n≥0) is a bounded domain with smooth boundaryΩ;ΔisLaplace operator; u and v, respectively, denote populaton densities of prey andpredator species, inhabit the domainΩ; a_i, b_i, c_i, D_i(i=1,2) are positive constants.the form of boundary parameter B is?

R~n(n≥0)是边界Ω充分光滑的有界区域；△为Laplace算子；u，v分别表示区域Ω中食饵和捕食者的密度，参数a_i，b_i，c_i，D_i(i=1，2)均为正常数，而边值参数B形式为这里的？

Chinese traditional virtue is humility and wariness,the compliment and praise to the others should be declination

中国人的传统美德是谦虚谨慎，对别人的恭维和夸奖应是推辞。如

We bought this house on the never-never.

我们以分期付款的方式买下这座房子。