singular solution

Using the generalized singular value decomposition ( GSVD ), the expression of general solution is given.

利用广义奇异值分解给出了该问题最小二乘解的表达式.

On method of solution in class { α,β} for the dual singular integral equation with Cauchy kernel and convolution kernel in the non-normal type case

{α，β}类中含Cauchy核与卷积核的对偶型奇异积分方程非正则型解法

The approach did not involve the inverse matrix operation and division operation of matrix, and was not restricted by the condition of a_ ( ii)≠ 0. The high accuracy solution of a singular matrix was also obtained.

该算法不涉及矩阵的逆运算和除法运算，不受条件aii≠0的限制，对于严重病态的线性系统也能得到高精度解。

Positive Solution of Singular Nonlinear Third Order Periodic Boundary Value Problem

非线性奇异三阶微分方程周期边值问题的正解

The surface Helmholtz integral equation dispersed by quadratic iso_parametric element is used as computation equation. Extensive work has been performed to overcome boundary integral equation in acoustic problems, non_uniqueness of solution and singular integral kernels.

以二次等参元离散的表面Helmholtz积分方程作为计算方程，采用一系列数值处理技术，克服了表面Helmholtz积分方程求解声学问题时出现的解的不唯一性和积分函数奇异性。

It is seen that [ H] in the BEM equation is a singular matrix. Hence the solution of Neumann problem has an undetermined constant, it is known to be reference potential.

研究表明，边界元方程中[H]矩阵是奇异的，所以Neumann问题的解有个待定常数，这就是通常所谓电位参考点问题。

The character of the solution depends on the known function of integral equation, as to the Type ⅰ Fredholm integral equation with logarithm function singular integral kernel.

对于具有对数函数弱奇异性积分核的Fredholm型I类积分方程，解的性质主要取决于方程中已知函数的形式。

In the end, we prove the validity of the singular perturbation expansions and get some useful deductions about the existence of the classical solution to the flood wave equations.

最后文章证明了对带松弛项的流波方程初值问题所作的奇异摄动展开的有效性，得出了有关解的存在性的一些有用的推论。

Upper and lower solution method for a singular third-order differential equation

一个奇异三阶微分方程的上下解方法

Indirect Approximate Solution With Complex Splines for Singular Integral Equations on A Closed Contour

封闭曲线上的奇异积分方程的样条间接逼近解法