We use the implicit function theorem to prove that the zeros are continuable, and that the continuations are exponentially decaying.
我们给出定义在R×l~∞空间上的映射的零解延拓定理：应用隐函数定理证明零解可延拓，再进一步证明延拓后的零解具有指数衰减性。
参考来源 - DNLS方程离散呼吸子及耦合格点映射拟周期呼吸子的存在性·2,447,543篇论文数据，部分数据来源于NoteExpress
We give a center manifold theorem in the neighbourhood of the equilibrium point, and prove that the center manifold is exponentially decaying.
在此平衡点附近建立中心流形定理，并证明中心流形有空间指数衰减性。
They have globally asymptotic stability, and can forget the effect of the initial state estimates at an exponentially decaying rate by assigning the poles of the estimators.
它们具有全局渐近稳定性，且通过配置估值器的极点可按指数衰减速率使初始状态估值的影响快速消失。
In spectral resolution enhancement the linear prediction of exponentially decaying sinusoidal superposition signal is one of the key technologies.
在光谱成像的光谱分辨率增强技术中，对振幅衰减干涉信号的线性预测是其中的关键之一。
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