查询词典 third boundary-value problem

This paper addresses a new boundary detection algorithm called BORAL (Boundary Points Detector Based on Angle),according to the problem of low efficient boundary detection and that it is uneasy to determine the scope of the parameter pruning in data mining.

针对目前数据挖掘中边界点检测效率低、参数阈值范围不容易确定的问题，提出一种新的边界点检测算法BORAL。

This method allows for a more accurate processing of boundary condition on the semiconductor layer in XLPE cable of stator winding than the standard finite element, so that the interlaminated issue of boundary condition on interface can be avoided. A general algorithm is applied to deal with both the Dirichlet and the periodic boundary condition in 2D or 3D magnetic field problem.

提出了用有限元法计算磁场问题时周期性边界条件和第一类边界条件的统一处理方法，利用该方法在不改变代数方程组阶数、保持系数矩阵性质不变和带宽基本不变的条件下，使两种强加边界条件能同时处理，简化了程序编制，并与寻址方法相结合，提高了计算速度。

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

In the first chapter,the Riemann-Hilbert boundary value problem of non-normal type for biregularfunctions and some boundary value problems of the inhomogeneous secondorder equation

共有三章，在第一章中主要运用文[2]中的理论与方法讨论了平面上双解析函数的非正则型Riemann-Hilbert边值问题及非齐次二阶方程

A new method relying on the Stroh formulism and the theory of the surface impedance tensor was developed to investigate the dynamic instability of interfacial slip waves.The concept of the surface impedance tensor was extended to the case where the wave speed is of a complex value,and the boundary conditions at the frictionally contacting interface were expressed by the surface impedance tensor.Then the boundary value problem was transformed to searching for zeroes of a complex polynomial in the unit circle...

基于Stroh公式和表面阻抗张量理论，提出了研究界面滑移波动态失稳问题的一种新的方法·该方法将表面阻抗张量概念推广到复波速域，并将摩擦接触界面上的边界条件以表面阻抗张量表示·最终将边值问题化归为求解一个复多项式在单位圆内的根·以弹性半空间与刚体平面相对稳态摩擦滑移为例进行了详细的分析，导出了一个4次复特征方程并讨论了方程在单位圆内解的特性，给出了滑移界面波失稳条件的显式解析表达式

In chapter 4, we first discussed the existence of multiple positive solutions of the second order nonsingular Dirichlet boundary value problem for impulsive differential equations by using the fixed point index theorem in cones . Next, we presented some new existence results for singular boundary value problems for second order impulsive differential equations by using fixed point theorem in cones and Leray-Schauder nonlinear alternative theorem.

第四章我们首先利用锥不动点定理讨论了非奇异二阶脉冲微分方程狄利克莱边值问题多个正解的存在性；其次我们用锥不动点定理和Leray-Schauder型非线性抉择定理，讨论了奇异二阶脉冲微分方程狄利克莱边值问题一个及多个正解的存在性。

In the present work,the existence and uniqueness results aboutperiodic boundary value problems for different kinds of the nonlin-ear periodically perturbed nonconservative systems are establishedthrough the discretization technique,under suitable assumptions,by using global inverse function theorem and result about the ex-istence and uniqueness of periodic solution for nonhomogeneouslyfirst order linear periodic boundary value problem.

本文的第一章概述了在讨论原问题解的存在唯一性过程中以及构造和分析相关的数值求解方法时将要用到的全局反函数定理、有关矩阵特征值的若干重要引理、线性常微分方程非齐次周期问题解的存在唯一性定理和单参数影射方法及有关结论，并简单回顾了已有的证明非线性微分方程周期边值问题解的存在唯一性的方法，其中包括谱理论、最大最小化形式方法、摄动技术和全局反函数理论方法，最后，介绍了两类数值求解非线性微分方程问题的方法。

By using this method, the boundary value problem of vector wave equation can be transformed Into two independent boundary value problems of scalar wave equations and other two additional vector differentia! operations.

用这种方法可以很方便地求解所有现在用并矢格林函数的本征展开法所能求得的各种并矢格林函数。

The results show that the cultivated land area in Wanzhou will slightly decreased while the construction land will slightly increased,forest land will increased dramatically,and it is difficult to improve the ecosystem service value by single increasing the wetland area.Grassland ecological restoration and increasing orchard area will improve the ecosystem service value by comprehensive treatment of geological hazards and soil loss.The ecosystem service theory value in Wanzhou is 11.89 billion yuan each year,the correction value is 10.64 billion yuan each year,and the present value is 9.65 billion yuan each year.This shows the ecological restoration has good economical efficiency.The optimization of land use structures based on ecosystem service value could satisfy the development of social economy with land demand,and realized the benefit of ecology and economy inphase,the study supported a new way to solve the key technical problem in land use programming in China.

计算结果表明：（1）规划期内万州区耕地面积略有减少，建设用地面积有所增加，林地面积有较大幅度增加，大规模增加湿地面积提高土地生态功能价值则难以实现；（2）地质灾害与水土流失综合治理、草地生态系统修复以及适当增加园地面积，能够提高万州区土地生态功能价值；（3）万州区土地生态经济理论价值为11888亿元/a，修正价值为10644亿元/a，均高于现状值9653亿元/a，土地生态修复与建设的生态经济效益可观；（4）基于生态系统服务价值的土地利用结构优化，能够满足社会经济发展对土地的需求并同步实现生态经济效益的最优，为解决土地利用规划中的关键技术问题提供新的方法。

Under the appropriate assumptions, the asymptotic solutions of the problem with different forms are obtained according to the multiple number of the root of some equation, which is satisfied by the boundary value of the reduced problem, by giving the general expressions for the coefficients of outer solution expansion and the corresponding boundary conditions.

在适当的假设下，通过给出外部解展开式系数及其对应边界条件的一般表达式，根据退化问题的边值作为某方程的根的重数，得到了此问题不同形式的渐近解。

Now he worked in ajoint venture.

现在他在一家合资企业工作。

More troops in Afghanistan won't change any of the foregoing.

更多的在阿富汗的军队也不会改变之前的状况。