Extended angle conditions for the study of the asymptotic behaviour of some continuous and discrete forced dynamical systems
Résumé
In this paper we study the asymptotic behaviour of the bounded solution of the following forced system and its discretization
$$\varepsilon u''+\vert u'\vert^\alpha u'+\nabla F(u)=g(t)$$ with conditions on F and g. We present similar forced angle conditions for both continuous and discrete cases, and then we apply it to examples from the literature.
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