Heteroclinics for non autonomous third order differential equations
Keywords
Third order, heteroclinic, boundary value problems in unbounded intervalsAbstract
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.Downloads
Published
2016-04-12
How to Cite
1.
BONHEURE, Denis, CID, José Ángel, DE COSTER, Colette and SANCHEZ, Luís. Heteroclinics for non autonomous third order differential equations. Topological Methods in Nonlinear Analysis. Online. 12 April 2016. Vol. 43, no. 1, pp. 53 - 68. [Accessed 25 April 2024].
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