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arXiv · 1803.02060

A Dynamical Approach to the Perron-Frobenius Theory and Generalized Krein-Rutman Type Theorems

Li Desheng·Jia Mo
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Abstract

We present a dynamical approach to the classical Perron-Frobenius theory by using some elementary knowledge on linear ODEs. It is completely self-contained and significantly different from those in the literature. As a result, we develop a complex version of the Perron-Frobenius theory and prove some generalized Krein-Rutman type theorems.

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BibTeXRIS

Li Desheng, Jia Mo. 2018-03-06. A Dynamical Approach to the Perron-Frobenius Theory and Generalized Krein-Rutman Type Theorems. https://doi.org/10.1016/j.jmaa.2020.124828

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