Stability of solutions of the cavitated bifurcation equation is discussed in each region by using the minimal potential principle, and the catastrophic phenomenon of cavity formation is explained.

并利用最小势能原理讨论了空穴分岔方程的解在各个参数区域内的稳定性，解释了空穴生成的突变现象。

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This paper investigates several equiyalent propositions of minimal curve surface by means of the euler equation of calculus of variations .

本文通过变分法欧拉方程推导出极小曲面的几个等价命题。

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When the observational equation is under the hypothesis on singularity and a solution of the lemma exists, we show that there exists a minimal order filter.

当量测方程奇异假设条件成立及引理有解时，本文证明了最小阶奇异滤波器必定存在。

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