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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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.
Ravi P. Agarwal, Donal O'Regan, Snezhana Hristova (2015)
Applications of Mathematics
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The stability of the zero solution of a nonlinear nonautonomous Caputo fractional differential equation is studied using Lyapunov-like functions. The novelty of this paper is based on the new definition of the derivative of a Lyapunov-like function along the given fractional equation. Comparison results using this definition for scalar fractional differential equations are presented. Several sufficient conditions for stability, uniform stability and asymptotic uniform stability, based...
B. Vrdoljak (1980)
Matematički Vesnik
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Denis Matignon, Christophe Prieur (2005)
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...
Carlotta Maffei (1983)
Rendiconti del Seminario Matematico della Università di Padova
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