Then by using Poincare-Bendixson theorem sufficient conditions for the existence of limit cycles are obtained.

在此基础上，利用微分方程的环域定理获得了所述系统存在极限环的条件。

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Then by using multi-dimension Laplace transform, the computation formula of nonlinear transfer function matrices for MIMO bilinear system are deduced.

然后，利用多维拉普拉斯变换，推导出双线性系统非线性传递函数矩阵的计算公式。

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Fristly the boundary value problems for the equations is formulated, and then by using the compactness principle, the existence of solutions for the above problems is proved.

先给出这些问题的提法，然后使用列紧性原理和极值原理证明了上述二阶椭圆型方程边值解的存在性和唯一性。

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That volume could have readily been produced by using the then built-out capacity of the Michigan plant.

FORBES: Michigan Battery Firm LG Chem Returns $842K In Stimulus Funds After Waste Allegations

If someone fears that the Romanised version of his name has been flagged, he can choose a new (but linguistically correct) transliteration, and then establish that spelling gradually by using it on low-level documents such as a gym membership card or a lease agreement.

ECONOMIST: Computing: What's in a name? | The

He said that restaurants would plan well ahead, judging what was popular and then making the most of oversupply by using these ingredients in "chef's specials".

BBC: Planning 'key to avoiding waste'