Periodic solutions of Lienard differential equations via averaging theory of order two

Abstract For ε ≠ 0sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form x ′′ + f ( x ) x ′ + n 2 x + g ( x ) = ε 2 p 1 ( t ) + ε 3 p 2 ( t ) , where n is a positive integer,...

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Bibliographic Details
Main Authors: JAUME LLIBRE, DOUGLAS D. NOVAES, MARCO A. TEIXEIRA
Format: Article
Language:English
Published: Academia Brasileira de Ciências 2015-12-01
Series:Anais da Academia Brasileira de Ciências
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Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000501905&lng=en&tlng=en

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