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Convergence of Global and Bounded Solutions of a Second Order Gradient like System with Nonlinear Dissipation and Analytic Nonlinearity
Authors:L Chergui
Institution:(1) Département de Mathématiques, Faculté des Sciences de Bizerte, 7021, Jarzouna, Bizerte, Tunisia;(2) Institut Préparatoire aux Etudes d’Ingénieurs d’Elmanar, Campus universitaire, BP 244, 2092 Elmanar 2, Tunis, Tunisia
Abstract:In this paper we establish convergence to equilibrium of all global and bounded solutions of a gradient like system of second order with nonlinear dissipation and analytic nonlinearity. We estimate also the rate of convergence.
Keywords:Gradient system  equilibrium  rate of convergence
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