查询词典 boundary value problem

We use the Leggett and Williams fixed point theorem to discuss the existence of three positive solutions for the boundary value problem of second-order nonlinear functional differential equation.

我们使用Leggett和Williams不动点定理讨论了二阶非线性泛函微分方程边值问题的三个正解的存在性。

Further, we introduce the concept of partially symmetric positive solution and discuss the existence of three partially symmetric positive solutions for the boundary value problem of second-order functional differential equation.

进一步，我们引入了部分对称正解的概念，并讨论了二阶泛函微分方程边值问题的三个部分对称正解的存在性。

Lastly, the existence theorem of three positive solutions for the boundary value problem of second-order singular functional differential equation be established by applying the index theory of fixed points in a cone.

最后，我们应用锥上的不动点指标理论建立了二阶非线性奇异泛函微分方程边值问题的三个正解的存在性定理。

The GKS stability theorem for one-dimensional model of hyperbolic initial and boundary value problem, Trefethen's explanation and extension based on the concept of group velocity are generalized firstly. Another possible high-frequency instability mechanism in numerical realization of MTF is pointed out based on his explanation and extension, namely, coupling effect of outgoing harmonic wave along one direction and node motion in the other directions can reverse the energy propagation in multi-dimensional discrete grids.

本文概述了—维双曲型偏微分方程组初边值问题数值稳定性的GKS定理及Trefethen基于群速度概念对这一定理的解释和推广；并应用Trefethen的解释和推广指出了MTF在数值实现中可能出现的另一种高频失稳机制，即在多维离散网格中，沿某一空间方向的外行简谐波，由于与其他空间方向节点运动的耦合效应可以使能量传播方向反向。

Optimal control of DSS formation adjusting based on Hamilton Mechanics and generating function method was investigated. An iterative way of solving the two-point boundary value problem induced by optimal control by relative motion generating function approximation was proposed.

基于考虑J_2项的DSS相对运动Hamilton力学模型和生成函数方法研究了DSS构形调整的最优控制问题，提出了求解最优控制两点边值问题的相对运动生成函数近似迭代方法。

Starting from the Laplace equation, the solution of Laplace equation, in spherical coor dinates, is developed for the boundary value problem approximating the local gravity field over a spherical cap——spherical cap harmonic analysis, and the spherical cap harmonic expansion with integral order but nonintegral degree and practical formulae are given.

从Laplace方程出发，提出了在球冠上逼近局部重力场的大地测量边值问题——球冠谐分析理论，给出了非整阶整次球冠谐展开和实用计算公式。

In this paper, we study the existence of global solution and its property of the initial boundary value problem for Camassa—Holm equations and Ginzburg—Landau equations.

本文研究了Camassa—Holm方程和Ginzburg—Landau方程初边值问题整体解的存在性及其性质。

The purpose of the paper is to investigate the convergence of the mixed finite element method for the initial-boundary value problem for the Hyperbolic type integro-differential equation and Hyperbolic type equation.

本文讨论了双曲型和双曲型积分微分方程的标准混合有限元和H~1-Galerkin混合有限元方法的L~2模和H~1模的误差估计。

By solving a axial-symmetrical boundary value problem consisting of a infinite solid and an isolated spheriodal particle embedded in an infinite matrix, some interesting results are found as follow:(1) at the micron scale, the smaller the particle is, the higher the stresses at the matrix/inclusion interface and within the particle are;(2) this size effect is more remarkable with decreasing the stress triaxiality and increasing the remote equivalent strain.

通过对三轴应力下含椭球夹杂的无限大体边值问题的分析，结果表明：(1)在微米尺度下，夹杂尺寸越小，夹杂/基体界面的法向应力、剪切应力和夹杂内部主拉伸方向的应力越高。

Secondly,the initial boundary value problem for the MHD equations in three-dimensional do-mains was considered in chapter three.

其次在第三章中考虑了三维区域上MHD方程的初边值问题。

And Pharaoh spoke to Joseph, saying, Your father and your brothers have come to you.

47：5 法老对约瑟说，你父亲和你弟兄们到你这里来了。

Additionally, the approximate flattening of surface strip using lines linking midpoints on perpendicular lines between geodesic curves and the unconditional extreme value method are discussed.

提出了用测地线方程、曲面上两点间短程线来计算膜结构曲面测地线的方法，同时，采用测地线间垂线的中点连线和用无约束极值法进行空间条状曲面近似展开的分析。