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Heteroclinics for some non autonomous third order differential equations

par Bonheure, Denis ;Cid, José Angel;De Coster, C;Sanchez, Luís
Référence Topological Methods in Nonlinear Analysis
Publication Publié, 2013

Article révisé par les pairs

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Résumé :

We study the existence of heteroclinics connecting the two equilibria ±1 of the third order differential equation u‴ = f(u) + p(t)u′ where f is a continuous function such that f(u)(u2 ±1) > 0 if u ≠ ±1 and p is a bounded non negative function. Uniqueness is also addressed. © 2014 Juliusz Schauder Centre for Nonlinear Studies.