变换中含有孤立稳定点的第二积分换元定理

The Second Integral Change Element Theory of Transformation Contains Isolated Stable Point

在不定积分第二积分换元定理的条件中,要求变换x=φ(t)不含有稳定点,即:φ′(t)≠0.当变换x=φ(t)中含有孤立稳定点时,给出了变换中含有孤立稳定点的第二积分换元定理.拓宽了第二积分换元定理的应用范围.

In the conditions of the second integral change element theory of indefinite integral, we demand transformation x = Φ（t）can not contain stable point, namely： Φ（t）≠0. If transformation x = Φ（t）contains isolate stable point, then this paper gives the second integral change element theory of transformation contains isolated stable point, which extend the apply scope of the second integral change element theory.