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证明了，如果某微分方程的基本解中含有对数函数，那么目前习用的边界积分方程的解可能不是原微分方程边值问题的解。如果把此类边界积分方程用边界元法离散化求近似解，那么这些近似解将依赖于用作无量纲化的长度标尺。其他情况相同，仅仅因为选取不同的长度标尺，就可使这些近似解彼此相差甚远。本文指出，文［２］开创的新一类边界积分方程与原微分方程边值问题对等，并且数值结果稳定，在工程上可放心使用。
Proved that if the basic solution of a differential equation contains a logarithmic function, the solution of the current boundary integral equation may not be the solution of the boundary value problem of the original differential equation. If these boundary integral equations are discretized by the boundary element method for approximate solutions, then these approximations will depend on the length scale used as the dimensionless. Other things being equal, these approximate solutions can be far apart from each other simply because different length scales are chosen. This paper points out that the new type of boundary integral equation created by [2] is equivalent to the boundary value problem of the original differential equation, and the numerical result is stable and can be safely used in engineering.