在这篇文章中，我们主要研究奇异方程的正周期解问题。
In this paper, we study mainly positive periodic solution to singular equations.
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。
Using matrix iteration methods, the eigenvector derivatives can be iterated directly, solving the singular sensitivity equation can be avoided.
本文得到了一类带奇异低阶项椭圆方程的一个正则性结果。
A regularity result of a class of elliptic equations with singular lower term is obtained.
本文避开奇异基本解，用非奇异基本解建立边界积分方程。
Avoiding singular fundamental solution, the paper using non-singular fundamental solution to establish the boundary integral equation.
本文提供了在没有非奇异假设的条件下，求解有界约束半光滑方程组的投影信赖域算法。
In this paper, we propose a projected trust-region algorithm for solving bound-constrained smooth systems of equations.
应用新的热力学公式，我们计算奇异夸克物质的态方程，得到十分合理的结。
With the new formulas obtained, we have also calculated the equation of state for strange quark matter with reasonable results.
本文对边界积分方程中所存在的超奇异积分的数值解法作了综述，并介绍了它的一些应用。
In this paper numerical solution methods of hypersingular integrals in boundary integral equation have been summarized together with some of their applications.
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.
鸭解是近年来在奇异摄动方程的研究中发现并开始研究的。它是一种新的分支现象。
Duck solutions, a new kind of bifurcation phenomenon, are discovered and studied during the study of singular perturbation equations in the recent decades.
以位置约束方程奇异性条件和结构参数空间复形剖分方法为基础，研究了平面机构尺度分类问题。
Based on singularity of constraint equation and complex division of structure-parameter-space, the dimension classification method of planar mechanism was researched.
同时利用带位的奇异积分方程理论得到了这一问题可解的主要条件及指数计算公式。
By the singular integral equation theory we obtain the resolvable sufficient and necessary condition and the formula of counting index for the problem.
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。
The edge internal branch crack problems for half-plane in antiplane elasticity are solved with complex potentials and singular integral equation approach.
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。
Based on the original precise integration method, the problem that singular matrix appears in non-homogeneous equation was discussed.
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。
For many years, numerous scholars have proposed many kinds of generalized Lyapunuv equation to study stability of singular system.
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。
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.
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。
In this paper we constructed an exponentially fitted difference scheme for singular perturbation problem of hyperbolic-parabolic partial differential equation.
因此，对于解决欧拉方程奇异性来讲，双欧法要优于四元数法。
So, dual Euler method is better than quaternion method in the solution of the singularity of the Euler equation.
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。
In this paper, the embedded crack in transversely isotropic body is studied by means of the singular integral equation method.
本文研究带两个位移的二维奇异积分方程。
In this paper, we consider two dimensional singular integral equation with two shifts.
本文利用奇异积分方程法计算出了非对称双面鳍线的传播常数。
The singular integral equation technique is used to determine the normal modes of propagation in asymmetrical bilateral finlines.
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 this paper, the solvability for a class of nonlinear two-dimensional singular integral equation is considered in unit circular.
本文讨论了一类含奇异系数双曲偏微分方程柯西问题解的可微性与低阶项之间的关系。
The relationship between the differentiability of solution of Cauchy problem of weak—hyperbolic differential equationand its lower term is studied in this paper.
本文使用奇异值分解法求解矩阵方程的最小二乘解。
A least squares solution via singular value decomposition is used to solve the matrix equation.
本文研究了一类具有一阶奇异性解的完全奇异积分方程的直接解法。
In this paper, we study the direct method of solution for a class of singular integral equations with solutions having singularities of order one.
介绍了求变截面梁挠曲线方程的奇异函数法。
Singular function method is introduced to derive the deflection equations of beams of variable cross section.
采用双层位势来表示解，要导至求解超强奇异型积分方程。
The solution will lead to solve a hyper singular integral equation, when a double layer potential distribution formulation is used.
作为所得结果的应用，讨论了弱奇异积分方程解的存在性问题。
As an application we utilize the results presented in this paper to study the existence problem of solutions for a class of weakly singular integral equations.
讨论了非线性奇异扩散方程的第二初边值问题，证明了存在唯一的光滑解，且解关于初值是连续依赖的。
In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed.
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。
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。
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.
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