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On the Second Lyapunov Method for Quaternionic Differential Equations

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Abstract

In this paper we mainly study the stability of quaternion-valued differential equations. We first establish the second Lyapunov method over quaternion field and then we use this theory to study the stability in both autonomous systems and periodic non-autonomous systems cases.

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Acknowledgements

This work was supported by National Natural Science Foundation of China (11601525, 12071485), Natural Science Foundation of Hunan Province (2020JJ4105).

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  1. School of Mathematics and Statistics, Central South University, Changsha, 410083, China

    Song Huang & Fuli He

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  1. Song Huang
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  2. Fuli He
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Correspondence to Fuli He.

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Huang, S., He, F. On the Second Lyapunov Method for Quaternionic Differential Equations. Qual. Theory Dyn. Syst. 20, 41 (2021). https://doi.org/10.1007/s12346-021-00476-8

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