On the periodic orbits of the fourth-order differential equation \(u^{\prime \prime \prime \prime} + qu^{\prime \prime } - u = \varepsilon F(u, u^\prime , u^{\prime \prime }, u^{\prime \prime \prime })\)

DOI10.1016/j.jmaa.2011.08.076zbMath1364.34059OpenAlexW1567142235WikidataQ115346146 ScholiaQ115346146MaRDI QIDQ645377

Jaume Llibre, Marco Antonio Teixeira

Publication date: 15 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.076

zbMATH Keywords

periodic orbitaveraging theoryfourth-order differential equation

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Averaging method for ordinary differential equations (34C29)

Related Items (2)

Periodic solutions for differential systems in \(\mathbb{R}^5\) and \(\mathbb{R}^6 \) ⋮ Periodic orbits of the fourth-order non-autonomous differential equation \(u'+qu+pu=\varepsilon F(t,u,u',u,u)\)

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