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We consider the third-order differential equation , where is a continuous function. We prove the existence of -periodic solution for this equation, using coincidence degree theories.
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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. 85–94DOI 10.4171/PM/1906