JournalspmVol. 69, No. 1pp. 85–94

Periodic solutions for a third-order differential equation without asymptotic behavior on the potential

  • Anderson L.A. de Araujo

    Universidade Federal de Viçosa, Brazil
Periodic solutions for a third-order differential equation without asymptotic behavior on the potential cover

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Abstract

We consider the third-order differential equation u+au+g(u)+cu=p(t)u^{'''} +au'' + g(u')+cu=p(t), where g ⁣:RRg \colon \mathbb{R} \rightarrow \mathbb{R} is a continuous function. We prove the existence of ω\omega-periodic solution for this equation, using coincidence degree theories.

Cite this article

Anderson L.A. de Araujo, Periodic solutions for a third-order differential equation without asymptotic behavior on the potential. Port. Math. 69 (2012), no. 1, pp. 85–94

DOI 10.4171/PM/1906