Didier Pilod (2014-2015)
Séminaire Laurent Schwartz — EDP et applications
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In this report, we review the proof of the asymptotic stability of the Zakharov-Kuznetsov solitons in dimension two. Those results were recently obtained in a joint work with Raphaël Côte, Claudio Muñoz and Gideon Simpson.
Li, Weiye, Szidarovszky, Ferenc (1999)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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B. Vrdoljak (1980)
Matematički Vesnik
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Yamada, Yoshio
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Mimia Benhadri, Tomás Caraballo (2022)
Mathematica Bohemica
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This paper addresses the stability study for nonlinear neutral differential equations. Thanks to a new technique based on the fixed point theory, we find some new sufficient conditions ensuring the global asymptotic stability of the solution. In this work we extend and improve some related results presented in recent works of literature. Two examples are exhibited to show the effectiveness and advantage of the results proved.
Boulbaba Ghanmi, Mohsen Dlala, Mohamed Ali Hammami (2018)
Kybernetika
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The Lyapunov's second method is one of the most famous techniques for studying the stability properties of dynamic systems. This technique uses an auxiliary function, called Lyapunov function, which checks the stability properties of a specific system without the need to generate system solutions. An important question is about the reversibility or converse of Lyapunov's second method; i. e., given a specific stability property does there exist an appropriate Lyapunov function? The main...