On the asymptotic stability of solutions of functional-differential equations
J. Terjéki (1979)
Annales Polonici Mathematici
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J. Terjéki (1979)
Annales Polonici Mathematici
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Carlotta Maffei (1983)
Rendiconti del Seminario Matematico della Università di Padova
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Erwin Turdza (1970)
Annales Polonici Mathematici
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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.
B. Vrdoljak (1980)
Matematički Vesnik
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Denis Matignon, Christophe Prieur (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we study linear conservative systems of finite dimension coupled with an infinite dimensional system of diffusive type. Computing the time-derivative of an appropriate energy functional along the solutions helps us to prove the well-posedness of the system and a stability property. But in order to prove asymptotic stability we need to apply a sufficient spectral condition. We also illustrate the sharpness of this condition by exhibiting some systems for which we do not...
Z. Zlatev (1978/79)
Numerische Mathematik
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Józef Myjak
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CONTENTSIntroduction.....................................................................................................................................5 1. General results.........................................................................................................................7 1.1. Residual sets.........................................................................................................................7 1.2. Generic properties of abstract functional equations..............................................................8II....