Using matrix iteration methods, the eigenvector derivatives can be iterated directly, solving the singular sensitivity equation can be avoided.
采用矩阵迭代法可以直接迭代计算特征向量导数，避免了对奇异灵敏度方程的求解。
The ordinary differential equation singular boundary value problem is one of the most important branches of ordinary differential equations.
常微分方程边值问题是常微分方程理论研究中最为重要的课题之一。
Avoiding singular fundamental solution, the paper using non-singular fundamental solution to establish the boundary integral equation.
本文避开奇异基本解，用非奇异基本解建立边界积分方程。
By some abstract results of operator equation, the fourth order singular boundary value problem was discussed.
利用算子方程的一些抽象结果来讨论四阶奇异边值问题。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
利用复变函数和奇异积分方程方法，求解反平面弹性中半平面边缘内分叉裂纹问题。
A class of singular perturbation of nonlinear boundary value problem for integral differential equation involving two parameters is considered.
考虑了一类关于两个参数的微分积分方程非线性边值问题的奇摄动。
Based on the original precise integration method, the problem that singular matrix appears in non-homogeneous equation was discussed.
在原有精细积分法的基础上，对非齐次方程出现奇异矩阵的问题进行探讨。
For many years, numerous scholars have proposed many kinds of generalized Lyapunuv equation to study stability of singular system.
多年来众多的学者提出多种不同的广义李亚普诺夫方程，用来研究奇异系统的稳定性。
This paper puts forward a kind of new generalized Lyapunuv equation, which is used to study the stability of discrete singular system.
本文提出一种新的广义李亚普诺夫方程，用于判定离散时间奇异系统的稳定性。
In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation.
本文对双曲-抛物偏微分方程奇异摄动问题构造了一个指数型拟合差分格式。
Especially, we give a calculation method for higher order singular integral by equation (3.1) when the wavelet function is unknown. At last, we create a convergence theorem.
特别是当小波函数未知时，借助于方程(3.1)，对高阶奇异积分作数值计算，建立了收敛性定理。
In this paper, the embedded crack in transversely isotropic body is studied by means of the singular integral equation method.
本文采用奇异积分方程法分析了横观各向同性体中的埋藏裂纹。
A semilinear elliptic equation with singular and subcritical exponent is studied.
研究了一个奇异的、次临界指数的半线性椭圆方程。
In this paper, we consider two dimensional singular integral equation with two shifts.
本文研究带两个位移的二维奇异积分方程。
The standard singular point is an important structure of the differential-algebraic equation systems(DAEs), by which DAEs are differentiated from the ordinary different equation systems (ODEs).
标准奇异点是微分代数方程系统区别于常微分方程系统的一个标志性的拓扑结构，具有重要的理论研究意义。
In this paper, singular boundary value problems of non-linear equation system on a half-line will be considered.
本文主要研究半直线上非线性方程组奇异边值问题解的存在性。
In this paper, the solvability for a class of nonlinear two-dimensional singular integral equation is considered in unit circular.
研究复平面单位圆域内一类非线性二维奇异积分方程的可解性。
In seismic inversion, the inverse matrix is mostly huge singular, the ordinary methods cannot be directly used to solve the equation, and the SVD technique must be used.
在地震波阻抗反演中，其反演矩阵多为接近奇异的大型矩阵，不能用一般方法直接求解，而要用奇异值分解(SVD)方法解方程。
This paper also gives the differential equation of the nonlinear vibration model, and obtains its asymptotic solution by means of singular perturbation methods.
文中给出了这一非线性振动模型的微分方程，并用奇异摄动法求得了渐近解。
In this paper, some counter examples to the conclusions of singular solution and envelope in two textbooks of ordinary differential equation are given.
给出了两种常微分方程教材中关于奇解与包络关系结论的反例。
The solution will lead to solve a hyper singular integral equation, when a double layer potential distribution formulation is used.
采用双层位势来表示解，要导至求解超强奇异型积分方程。
Using proper decomposition of the functions and integral transformation, the problem is reduced to a singular integral equation, whose solution is given of the theory of integral equation.
笔者通过适当的函数分解和积分变换，将寻求复应力函数的问题转化为求解一正则型奇异积分方程，并借助积分方程理论给出了方程的求解方法。
Based on the equilibrium equation of annular plates, the limit loads of annular plates under ultimate condition of the maximal moment were calculated by singular function.
从环板的平衡方程出发，应用奇异函数法计算其在最大弯矩极限条件下的极限荷载。
For control process in the systems of differential equation with constant lag necessary condition of optimality of singular control is found.
对带有常数滞后的微分方程系统的控制过程，我们给出了最优性的必要条件。
The problem is reduced to a singular integral equation on cracks. The formulas for the stress intensity factors are also derived.
问题化为了裂纹上的奇异积分方程，并导出了应力强度因子公式。
The least square problem of the convolution result and real seismic data can be considered as the solution of a huge rarefactional matrix equation, which can be solved by singular value decomposition.
然后将其与地震子波褶积，使其求解结果与实际地震数据的最小平方问题归结为求解一大型稀疏矩阵方程，并采用奇异位分解法求解。
Little attention is on questions of existence of positive solutions for BVP of singular differential equation on measure chains and the relevant papers are few.
测度链上奇异微分方程边值问题正解的存在性，研究的人较少，相应的文献也要少的多。
A formulation for the equivalent circuit parameters of the discontinuities with superior convergency is derived by the transverse resonance method with the singular integral equation technique.
利用横向谐振法结合奇异积分方程技术，导出了具有快速收敛特性的不连续性等效电路参量计算公式。
A formulation for the equivalent circuit parameters of the discontinuities with superior convergency is derived by the transverse resonance method with the singular integral equation technique.
利用横向谐振法结合奇异积分方程技术，导出了具有快速收敛特性的不连续性等效电路参量计算公式。
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