A dynamical approach to the Perron-Frobenius theory and generalized Krein-Rutman type theorems

Li Desheng; Jia Mo

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A dynamical approach to the Perron-Frobenius theory and generalized Krein-Rutman type theorems

机译：珀罗 - Frobenius理论和广义Kerin-Rutman类型定理的动力学方法

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摘要

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. (C) 2020 Elsevier Inc. All rights reserved.

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来源
《Journal of Mathematical Analysis and Applications》 |2021年第2期|共22页
作者
Li Desheng; Jia Mo;
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作者单位

Tianjin Univ Sch Math Tianjin 300072 Peoples R China;

Tianjin Univ Sch Math Tianjin 300072 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类数学分析;应用数学;
关键词
Perron-Frobenius theory; Krein-Rutman theorem; Dynamical approach; Rotational strong positivity; Weak irreducibility;

机译：珀罗 - 弗罗比乌斯理论;Kerin-Rutman定理;动态方法;旋转强的阳性;弱不可制定;

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A dynamical approach to the Perron-Frobenius theory and generalized Krein-Rutman type theorems

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