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2014 Heteroclinics for non autonomous third order differential equations
Denis Bonheure, José Ángel Cid, Colette De Coster, Luís Sanchez
Topol. Methods Nonlinear Anal. 43(1): 53-68 (2014).

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.

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Denis Bonheure. José Ángel Cid. Colette De Coster. Luís Sanchez. "Heteroclinics for non autonomous third order differential equations." Topol. Methods Nonlinear Anal. 43 (1) 53 - 68, 2014.

Information

Published: 2014
First available in Project Euclid: 11 April 2016

zbMATH: 1365.34078
MathSciNet: MR3236599

Rights: Copyright © 2014 Juliusz P. Schauder Centre for Nonlinear Studies

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Vol.43 • No. 1 • 2014
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