On the periodic orbits of the fourth-order differential equation

Jaume Llibre; Marco Antonio Teixeira

doi:https://doi.org/10.1016/j.jmaa.2011.08.076

On the periodic orbits of the fourth-order differential equation

Jaume Llibre, Marco Antonio Teixeira

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

3 Citations (Scopus)

Abstract

We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation. where q and ε are real parameters, ε is small and F is a nonlinear function. © 2011 Elsevier Inc.

Original language	English
Pages (from-to)	181-188
Journal	Journal of Mathematical Analysis and Applications
Volume	387
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2011.08.076
Publication status	Published - 1 Mar 2012

Keywords

Averaging theory
Fourth-order differential equation
Periodic orbit

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https://ddd.uab.cat/record/150556

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title = "On the periodic orbits of the fourth-order differential equation",

abstract = "We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation. where q and ε are real parameters, ε is small and F is a nonlinear function. {\textcopyright} 2011 Elsevier Inc.",

keywords = "Averaging theory, Fourth-order differential equation, Periodic orbit",

author = "Jaume Llibre and Teixeira, {Marco Antonio}",

year = "2012",

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doi = "https://doi.org/10.1016/j.jmaa.2011.08.076",

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journal = "Journal of Mathematical Analysis and Applications",

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AU - Llibre, Jaume

AU - Teixeira, Marco Antonio

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N2 - We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation. where q and ε are real parameters, ε is small and F is a nonlinear function. © 2011 Elsevier Inc.

AB - We provide sufficient conditions for the existence of periodic solutions of the fourth-order differential equation. where q and ε are real parameters, ε is small and F is a nonlinear function. © 2011 Elsevier Inc.

KW - Averaging theory

KW - Fourth-order differential equation

KW - Periodic orbit

U2 - https://doi.org/10.1016/j.jmaa.2011.08.076

DO - https://doi.org/10.1016/j.jmaa.2011.08.076

M3 - Article

VL - 387

SP - 181

EP - 188

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -

On the periodic orbits of the fourth-order differential equation

Abstract

Keywords

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