The dynamic problem could be formulated as a set of dual integral equations.
该问题可表示为一系列二重积分方程。
This paper deals with indefinite integral equations with jumping nonlinearities.
讨论具有跳跃非线性项的非正定核积分方程。
We shall now formulate these integral equations and discuss some of their consequences.
现在我们来表述这些积分方程，并讨论它们的一些结果。
It USES the fast multipole method (FMM) to accelerate the solution of the integral equations.
它使用快速多极方法(FMM)加速积分方程的解决方案。
Momentum integral equations are solved simultaneously with the specified relationships of main flow.
将附面层的动量积分方程与主流的关系式联立起来求解。
One class of composite boundary value problem with two displacements is discussed with integral equations.
用积分方程的方法讨论了解析函数的一类带有两个位移的复合边值问题。
The discussion on the differential equations can be connected with the discussion on the integral equations.
关于这些微分方程的讨论就与相应的积分方程的讨论联系起来。
In solving electric field integral equations, fast multipole is used to make the computing efficiency greatly improved.
最后采用了快速多极子对电场积分方程进行求解，这样使得计算的效率得到很大的提高。
The paper reviews Some applications of the homotopy perturbation method to nonlinear differential and integral equations.
本文一篇综述类文章，综述了同伦摄动方法及它在非线性微积分方程中的某些应用。
The theoretical investigation in ionic fluids has been done with analytical or numerical calculation of integral equations.
对于离子液体的研究理论上主要是用解析或数值计算求解积分方程组。
The governing integral equations are established by the method of mixed boundary-condition land the simplified form is given.
用混合边界条件方法建立了问题的确定积分方程组，并进行了简化。
Results are useful for differential difference equations and differential integral equations with continuous distributed retards.
所得的结果适用于微分差分方程和具连续分布滞量的积分微分方程。
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。
The algebraic equation from the dual boundary integral equations(DBIE) was solved using the generalized minimum residual method(GMRES).
基于对偶边界积分方程（DBIE）构造代数方程组，采用广义极小残值迭代法（GMRES）求解。
In this paper, we give the conditions of existence of positive almost periodic type solutions for some nonlinear delay integral equations.
本文利用不动点理论，给出了一类非线性延迟积分方程正的概周期型解的存在性条件。
We present a quadrature method for mixed boundary integral equations of stable problems, which provides high accuracy and less complexity.
提出了求积法解稳态问题的混合边界积分方程，它拥有高精度，低复杂度。
Q3D Extractor USES method of moments (integral equations) and FEMs to compute capacitive, conductance, inductance and resistance matrices.
Q3D提取使用的矩量法(积分方程)和有限元计算的电导，电容，电感和电阻矩阵。
The general integral equations are derived for liquid and gas components of space propulsion systems with liquid propellant rocket engine.
针对采用液体推进剂火箭发动机的空间推进系统，推导了系统液路和气路的通用积分形式方程。
This article discusses the basic form of "f" and "V" type integral equations, abstracts the basic definition of integral equation "nucleus".
本文基于“F”与“V”类积分方程序的基本形式，抽象出积分方程序“核”的基本定义。
For dealing with the electromagnetic fields near edges, an approximate scheme is developed using the series expansions and integral equations.
处理孔缝边界时，用级数展开和积分方程得到金属拐角处电磁场的近似解。
The traditional boundary element method of outside domain singularity points for plate bending problems needs two boundary integral equations.
传统的平板弯曲边界元域外奇点法要求建立二个边界积分方程才能求解。
Solving integral equations of supercavitating flow based on the finite difference time discretization method, some numerical results are obtained.
采用时间有限差分离散化方法求解超空泡流积分方程，得到了问题的数值解。
Then correspondently, we obtain the specific variational principles, bounded theorems, and boundary integral equations of the second stage problems.
再得到与之对应的各类变分原理，界限定理，第二阶段问题的边界积分方程。
In numerical calculation, the paper employs the collocation method to compute the coupled boundary integral equations with quadrangle constant elements.
数值计算采用配置法计算耦合的边界积分方程，使用四边形常单元。
The nonlinear boundary value problem of the corrugated diaphragm reduces to the nonlinear integral equations by applying the method of Green's function.
应用格林函数方法，将波纹膜片的非线性边值问题化为非线性积分方程进行求解。
The result is a set of coupled, nonlinear integral equations for the baryon self-energy with a self-consistency condition on the single-particle spectrum.
结果得到了一组带有一个关于单粒子光谱自洽条件的耦合的，非线性的重子自能的积分方程。
First, dual boundary integral equations with temperature and centrifugal loads are set up in the paper. Then, the strategy to use those equations is discussed.
首先建立了考虑温度及离心载荷的双重边界积分方程组，并对边界积分方程组的选取及适用范围进行了讨论。
So far, the numerical techniques solving the hyper-singular integral equations are established, and these are called finite-part integral-boundary element method.
从而完成了超奇异积分方程组数值法的建立，这一方法现称之为有限部积分——边界元法。
A new approach to analysis of multi-port waveguide junctions, based on the numerical solution of iris electric field integral equations, is presented and discussed.
以波导结孔径面电场积分方程的矩量解法为基础，本文提出了一种多端口波导结的新型数值分析方法。
Applying fixed points theorem, we give the sufficient conditions of the existence of positive ergodic solutions for a class of infinite nonlinear integral equations.
利用不动点理论，给出了一类非线性积分方程正的遍历解存在的充分条件。
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