利用锥上的不动点定理得到了一个正解和两个正解的存在性。

Using cone fixed point theorem we get the existence of one and two positive solutions.

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所以那是通过散度定理得到的，其中使用了S是封闭曲面这一事实。

So, that's by the divergence theorem using the fact that s is a closed surface.

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应用这些定理得到变质量高阶非完整系统的若干新型运动微分方程。

Using the theorems, the new equations of higher order non-holonomic mechanical systems with variable mass are obtained.

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