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 & SANCHEZ, Luís. Heteroclinics for non autonomous third order differential equations. Topological Methods in Nonlinear Analysis [online]. 12 April 2016, T. 43, nr 1, s. 53–68. [accessed 31.1.2023].
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