查询词典 third boundary value problem

For the optical system with circular apertures,it is difficult to get the boundary radical slope of phase and the accurate sampling value in the circular domain boundary when the intensity transport equation is used to recover the original phase.

1引言相位恢复是指利用光束传播时所探测到的光强信息反演出相位[1]，为了获得更多的光强信息以把相位恢复到最佳，一次光强测量是不够的，因此这就要求在光学系统的输出或成像光轴方向上进行多次光强测量。

The nonlinear functional for singularly perturbed boundary value problems for elliptic equation with boundary perturbation is considered.

研究了具有边界摄动的非线性泛函椭圆型方程奇摄动边值问题。

As known, using the porential theory Green's tormulae and the fundamental solutions wecan reduce the harmonic and biharmonic elliptic boundary value problems to integral equationson the boundary.

我们熟知，利用位势理论或由Green公式及基本解出发区域内调和及重调和边值问题可归化为边界上的积分方程。

In 1970s, boundary value problems with equivalued surface are put forward. Andit is important to study them to solve practical problems. Li Ta-tsien and his partnersdo systematic research on them, especially study certain kind of elliptic boundary valueproblem with equivalued surface on the domain with thin layer.

二十世纪七十年代提出了一类等值面边值问题，它对于解决实际问题起到了非常重要的作用，李大潜等人对其进行了比较系统的研究，特别的对在具有薄层的区域上的椭圆型等值面边值问题进行了探讨。

First, the physical models associated with dislocations and cracks are respectively converted to mixed boundary value problems in mathematics. Secondly, by using the Fourier transform, a dual integral equation for a crack and an algebraic equation for a dislocation can be derived from the boundary conditions relating with a crack and a dislocation, respectively. Solving these equations, exact analytical solutions can be obtained in terms of Bessel functions in close-form.

先把位错和裂纹的物理模型写成与它们相关的边值问题，然后，利用Fourier变换将这些边值问题化成一个对偶积分方程(对位错而言，得到一个代数方程)，求解此对偶积分方程，可以获得以Bessel函数给出的封闭形式的分析解。

We consider the existence of positive solutions of second order impulsive boundary value problems by constructing the appropriate homotopy operator and applying the theory of fixed point index in cones. our results contain the conclusion when f ≥ 0 and J_k = 0([6]). Secondly, we discuss multiple positive solutions of the following impulsive boundary

其次，我们在§2.2中讨论了下面的脉冲微分边值问题多正解的存在性在这一部分的讨论中，利用不动点指数理论，在f既非超线性又非次线性的情形下，得到了两个正解的存在性定理，把文[7]的结果推广到脉冲微分边值

The growth of functions in these spaces depends on a weighted function ρ. We investigate the relation between growth and boundary values of the functions, and prove that a function or its radial derivative is in one of the spaces if and only if the p'integral average of the difference of its boundary value function is integrable or bounded.

研究这些函数空间中函数的增长性与边界值的关系，得到了函数或其径向导数属于相应空间的充分必要条件是其边界值差分的p次积分平均应具备一定的可积性或有界性。

Finally, we study the continuous reliant relation of solutions and initial-boundary condition , give the stability analysis by studying the limit relation of solutions of several initial-boundary value problems.

最后，研究了解对初边界条件的连续的依赖关系，具体通过研究迎头法与宽脉冲、迎头法与渐变迎头法、宽脉冲与δ脉冲、宽脉冲与渐变宽脉冲等几类特殊初边值问题解之间的极限关系来进行稳定性分析。

This paper presents mechanical quadrature methods for solving the boundary integral equations of nonlinear boundary value problems.

本文提出了解非线性边值问题的边界积分方程的高精度机械求积法。

For example, the Boundary value of the bump/displacement map controls the raggedness of the snow/rock boundary of the color map.

其颜色贴图的凹凸/位移贴图界限条件值控制积雪/岩石的粗糙范围。

The statistical analysis of this large set of mutations has led us to propose a diagnostic strategy that should help with the molecular work-up of optic neuropathies.

这一大系列基因突变的统计学分析引导我们提出一个诊断策略，可以帮助我们对视神经病变进行分子学的诊断检查。

The results show that the pipe grouting changes the mechanical parameters of surrounding rocks to achieve the security of engineering objectives by reinforcing surrounding rocks and bolcking the water.

研究表明：小导管注浆一方面改变了围岩的力学参数，另一方面利用浆液的固结特性可以实现堵水和加固围岩的工程目标，使隧道在开挖过程中的安全得到保障。