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Journal Articles Topological Methods in Nonlinear Analysis Year : 2014

Heteroclinics for non autonomous third order differential equations

Denis Bonheure
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José Ángel Cid
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Luís Sanchez
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Abstract

We study the existence of heteroclinics connecting the two equilibria $\pm1$ of the third order differential equation $$u'''=f(u)+p(t)u'$$ where $f$ is a continuous function such that $f(u)(u^2-1)> 0$ if $u\neq\pm1$ and $p$ is a bounded non negative function. Uniqueness is also addressed.

Dates and versions

hal-03135614 , version 1 (09-02-2021)

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Denis Bonheure, José Ángel Cid, Colette De Coster, Luís Sanchez. Heteroclinics for non autonomous third order differential equations. Topological Methods in Nonlinear Analysis, 2014, 43 (1), pp.53-68. ⟨10.12775/tmna.2014.004⟩. ⟨hal-03135614⟩
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