Then, as examples, we introduce two simple practical applications of the perturbation theorem.
然后举例说明干扰定理的两个简单的实际应用。
The quaternion matrix singular value perturbation theorem is generalized and these results are also new one for complex matrix.
本文对四元数体上矩阵奇异值摄动定理给出了推广，且这些结果对复矩阵也是新的。
By using the approach of basic operator theory, a left multiplicative perturbation theorem of Cregularized resolvent families is proved.
应用算子理论方法，给出了一个C -正则预解族的左乘积扰动定理。
Methods the maximum principle, monotone method, bifurcation theory, the perturbation theorem for linear operators and the stability theorem for bifurcation solutions were used.
方法运用极值原理、上下解方法、分歧理论、线性算子的扰动理论和分歧解的稳定性理论进行研究。
Second, some results of local stability for the coexistence solutions are obtained by the perturbation theorem for linear operators and the stability theorem for bifurcation solutions.
然后运用线性算子的扰动理论和分歧解的稳定性理论证明出共存解在适当条件下是稳定的；
This study illustrated that the theorem could be also applied in a case where the sources and sinks are on the circle by means of the regular perturbation method.
经典圆定理只证明了奇点位于圆外的情况，本文用正则摄动法证明了源和汇位于圆上时，圆定理也是适用的。
A theorem of the existence of stability rectangular polytope for the given perturbation is presented. The application of algorithm given is illustrated by numerical example.
对于所给的扰动建立了稳定空间的存在性定理，给出鲁棒反馈增益阵的算法及计算实例。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
The existence and uniqueness theorem of its solution is proved by the perturbation method and the estimation of error for its approximate solution is given.
然后利用摄动方法证明了这个问题解的存在唯一性，同时给出了解的渐近展开和误差估计。
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