查询词典 boundary point

According to the Law of Biot-Savart, the author concludes that there is an electric current which can distort the diurnal variations of the geomagnetic vertical component beneath the boundary line of the geomagnetic low-point displacement within and in the vicinity of the day of the geomagnetic low-point displacement anomalous.

作者依据Biot-Savart定律推测，在低点位移异常期间，在低点位移线下方有一引起地磁垂直分量日变化畸变的电流通过，且该电流为线状分布，或仅在垂直面内有分布，埋深一般认为几十千米。

Aqua is 40 percent of the way from the boundary to the center point.' Blue is at the center point.

深绿色到浅绿色的转变发生在深绿色到蓝色转变的距离的 25%处。

This paper is concerned with the existence of positive solution for singular m-point boundary value problems with p-Laplacian operator by using a fixed point theorem on cone.

运用锥拉伸压缩不动点定理，讨论了一类具有p-Laplacian算子m-点奇异边值问题的正解的存在性，推广和包含了一些已知的结果。

The particle swarm optimization is improved to overcome the difficulty in finding the shooting point of two-point boundary value problem.

针对打靶法中打靶点寻找困难的问题，提出了一种改进的粒子群算法。

The imprecise polynomial circuit optimization is based on arithmetic transformation method, considering the fixed point and floating point representation condition first, then give a realization of circuits under different accuracy boundary, trade off error with power dissipation and area, applying branch and bound method to find the solution with minimal cost, determine the minimal word length which satisfies the error bound, make use of the automation synthesis approach to get ultimate optimize structure at the same time.

非精确多项式电路优化基于算术变换方法，首先考虑电路的定点和浮点表示情况，给出电路在不同精度界限下的实现，进行误差和功耗、面积的权衡，然后应用分枝定界方法求解出最小代价电路，决定满足误差要求的最小字长，同时利用自动综合优化方法得到最终的优化结构。

This paper investigates topological properties of the general gradient system, and demonstrates by results of differential topology that the boundedness of the general gradient system is equivalent to the boundedness of the potential energy boundary surface. Moreover, a general gradient system is bounded if, and only if the system has both sink point and source point.

该文研究了广义梯度系统的拓扑性质，应用微分拓扑学原理证明，广义梯度系统的完全稳定性与势能界面的有界性是等价的；广义梯度系统完全稳定当且仅当该系统既有渊点又有源点。

Second order differential inclusion; boundary condition; usc multivalued map; fixed point; monotone map; Yosida approximation; solution tube; upper-lower solutions; critical point; PS-condition; C-condition; Sobolev space

基础科学，数学，数学分析二阶微分包含；集值边界；上半连续集值映照；不动点；单调算子； Yosida逼近；解管道；上下解；临界点； PS-条件； C-条件； Sobolev空间

Firstly, the eigenvalue problem of a class of second order elliptic equation with critical potential and indefinite weights is considered. Then, using critical point theory, Trudinger-Moser inequality and the properties of the first eigenvalue, we prove the existence of a nontrivial solution for a class of nonlinear elliptic with critical potentialand indefinite weights in R~2. Secondly, we prove the existence of nontrivial solutions for a class of subcritical and critical elliptic systems with indefinite part in R~2 byusing a generalized linking theorem, Trudinger-Moser inequality and concentration-compactness principle.5. The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.

首先，讨论了R~2中一类带不定权且含临界位势的二阶椭圆型方程的特征值问题，并借此特征值问题的第一特征值性质，利用山路引理及Trudinger-Moser不等式，证明了R~2中一类带不定权且含临界位势的非线性椭圆型方程非平凡解的存在性；其次，利用广义环绕定理，Trudinger-Moser不等式及集中列紧原理，得到了R~2上一类具有强不定部分的半线性椭圆型方程组在非线性项分别为次临界增长和临界增长情形下非平凡解的存在性。

This article investigates the two-point boundary value problem to a coupled system of nonlinear fractional differential equations. By applying growth conditions on the nonlinear terms, we obtain an existence result of solutions. Our analysis relies on the Schauder fixed-point theorem and the reduction of the considered problem to the equivalent coupled system of integral equations.

本文讨论非线性分数阶微分方程耦合系统的两点边值问题，应用Green函数，将其转化为等价的积分方程耦合系统，并设非线性项在无穷远处有增长条件，应用Schauder不动点定理证明解而非限于正解的存在性。

The existence of triple positive solutions for second order multi-point boundary value problem is investigated by using Avery-Peterson fixed point theorem. Gives the sufficient conditions for the existence of three positive solutions of the problems.

研究一类二阶非线性微分方程的n点边值问题正解的存在性，应用Avery-Peterson不动点定理，给出这类边值问题至少存在3个正解的充分条件。

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新