Positive solution to a singular beam equation simply supported at left and clamped at right by sliding clamps It was the cry of a rabbit caught in a gin. 左端简单支撑右端被滑动夹子夹住的奇异梁方程的正解原来那是一个让夹子夹住的小兔子在那儿叫了一声。
Solving the 3D eddy current field problem with the edge finite element method in terms of the non-gauged variable results in a singular matrix equation. 应用棱单元法的三维涡流场问题中,若不对未知量进行规范,将得到奇异方程组。
Existence of Solution for a Singular Biharmonic Equation Involving Critical Exponent 具临界指数及奇异性的双调和方程解的存在性
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。
In this paper, the second initial and boundary value problem of a nonlinear singular diffusion equation is discussed. 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。
Method of Strongly Singular Integral Equation for the Torsion of Cylinder with Edge Crack 边裂纹柱扭转的强奇性积分方程解法
The singular integral equation for the unkown crack opening displacement is derived. 求出了以裂纹张开位移为未知量的奇异积分方程。
Multiple Solutions of a Singular Equation on Unbounded Domain Involving the p-Laplacian 无界区域上奇异p-Laplacian方程的多解性问题
A Conditionally Stable BVP of the Singular Perturbation Equation System with some Small Parameters 一类条件稳定的多小参数奇摄动方程组边值问题
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。
Particularly, we give the problem of existence of periodic solution of two-dimensional singular differential equation with delay, and give an example to illustrate the main results of this paper. 特别地,我们给出二维退化滞后微分方程的周期解的存在性问题,并在最后举例说明其应用。
Cauchy Singular Integral Equation Method for Transient Antiplane Dynamic Problems 瞬态反平面动力学问题的Cauchy型奇异积分方程解法
By using the Fourier transform, the associated problem is reduced to a singular integral equation. 在电渗透裂纹和非电渗透型的裂纹假设下,利用Fourier积分变换,把相应的混合边值问题转化为求解奇异积分方程。
A kind of one parameter planar singular perturbation equation is studied by the qualitative theory of ordinary differential equations, asymptotic analysis methods, implicit function theorem and fixed point methods. 本文应用微分方程定性理论、渐进分析方法、隐函数定理以及不动点理论的方法研究一类单参数二维奇异摄动系统。
In this paper, the method of solution in the vector format for a kind of dual singular integral equation with two convolution kernels is discussed, and the general explicit solution and the related conditions of solvability are obtained. 本文对文[2]中的含两个卷积核的对偶型奇异积分方程给出了向量形式求解方法,并且给出了一般解的显式及相应的可解条件。
In this paper. The method of solution to the non_normal type for a class of dual singular integral equation containing both Cauchy kernel and convolution kernels will be discussed, and the general solution and conditions of solvability in class { 0} are obtained. 本文研究了一类既含Cauchy核又含卷积核的对偶型奇异积分方程的非正则型积分方程的求解方法,得到了该类方程在{0}类中的可解条件与一般解。
In this paper, we generalized a lemma about Holder condition, which is useful often in Singular integral equation and Boundary value problem. 本文对奇异积分方程和解析函数边值问题中经常用到的一个引理,作了推广,同时,讨论了它的应用。
In the frame of singular integral equation theory a numerical technique for solving the two-variable equations is presented. 本文根据奇异积分方程一般理论提出一种求解二维方程的数值方法。
The Nonlinear Boundary Value Problem for Singular Diffusion Equation 奇异扩散方程的非线性边值问题
The authors discuss the stability and existence of the solutions to complete singular integral equation under perturbation of integral curve. 讨论了完全奇异积分方程的解当积分曲线发生微小摄动时的存在性和稳定性。
In this paper, the authors study the multiple problem for a semilinear singular elliptic equation with critical Sobolev Hardy exponent and inhomogeneous term. 该文讨论一个带非齐次项和Sobolev-Hardy临界指数的半线性奇异椭圆型方程的多解问题。
In this paper, the multiple-edge crack problems for half-plane in antiplane elasticity are investigated systematically by using complex potentials of dislocation model and the singular integral equation approach. 本文利用边缘裂纹位错模型的复位函数和奇异积分方程方法,系统地研究了反平面弹性中半平面多边缘裂纹问题及其相关的数值解法。
The singular integral equation is used to provide stable solutions. 为了改善方程组的稳定牲,将文献[3]中所用的柯西型积分公式,改为奇异积分方程。
A New Method Used in Solving Process for the Numerical Solution of Singular Integral Equation ( I) 适于奇异积分方程数值解求解过程中的新方法(Ⅰ)
The Laplace and Fourier transforms are used. The problem is reduced to solving a Cauchy singular integral equation in Laplace domain. The numerical results of dynamic stress intensity factors and relative displacements of crack surface are given. 用Laplace和Fourier变换将问题化为在Laplace变换域内求解第一类Cauchy型奇异积分方程,并给出了动态应力强度因子和裂纹张开位移的数值结果。
Taking SH wave as an example, the singular integral equation is solved by the use of the Chebyshev polynomials. 并对SH波入射的情形进行了详细的分析,求解了相应的奇异积分方程。
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。
Using the stress boundary conditions on the crack surfaces, the singular integral equation was obtained and was carried out numerically. 利用裂纹面上的应力边界条件,获得了待求的奇异积分方程并对其进行了数值求解。
By introducing a Sherman transformation, the boundary value problem is transformed into singular integral equation. 通过引入Sherman变换,将求解裂纹的边值问题转化成了求解柯西核的奇异积分方程组。
In recent years, numerical algorithm of Strongly singular integral equation has developed a new numerical method. 强奇异积分方程的数值算法是近几年发展起来的新课题。