Abstract:
Hartman线性化定理即:如果方阵A的特征根实部异于零,f(x)有界且有小Lipschitz常数,则存在Rn的同胚将非线性系x′=Ax+f(x)的解映为线性系x′=Ax的解.在允许非线性项f(x)的部分分量无界,同时不增加任何条件和无任何特殊限制的情形下,获得了全局拓扑线性化的结论,从而使Hartman线性化定理得到了实质性的改进。
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中国科学(A辑)
Year: 2002
Issue: 05
Page: 458-470
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ESI Highly Cited Papers on the List: 0 Unfold All
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