Topological Methods in Nonlinear Analysis

Heteroclinics for non autonomous third order differential equations

Denis Bonheure, José Ángel Cid, Colette De Coster, and Luís Sanchez

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Abstract

We study the existence of heteroclinics connecting the two equilibria $\pm 1$ 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 $u\neq\pm 1$ and $p$ is a bounded non negative function. Uniqueness is also addressed.

Article information

Source
Topol. Methods Nonlinear Anal. Volume 43, Number 1 (2014), 53-68.

Dates
First available in Project Euclid: 11 April 2016

Permanent link to this document
https://projecteuclid.org/euclid.tmna/1460381547

Mathematical Reviews number (MathSciNet)
MR3236599

Citation

Bonheure, Denis; Cid, José Ángel; De Coster, Colette; Sanchez, Luís. Heteroclinics for non autonomous third order differential equations. Topol. Methods Nonlinear Anal. 43 (2014), no. 1, 53--68. https://projecteuclid.org/euclid.tmna/1460381547.


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