Please use this identifier to cite or link to this item: http://repositorio.unicamp.br/jspui/handle/REPOSIP/237930
Type: Artigo
Title: Periodic solutions of Lienard differential equations via averaging theory of order two
Title Alternative: 
Author: Llibre, Jaume
Novaes, Douglas D.
Teixeira, Marco A.
Abstract: For ε ≠ 0sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form (formula presented) where n is a positive integer, f : ℝ → ℝis a C 3function, g : ℝ → ℝis a C4function, and p i : ℝ → ℝfor i = 1 , 2are continuous 2 π–periodic function. The main tool used in this paper is the averaging theory of second order. We also provide one application of the main result obtained. © 2015 Academia Brasileira de Ciencias. All rights reserved.
For ε ≠ 0sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form (formula presented) where n is a positive integer, f : ℝ → ℝis a C 3function, g : ℝ → ℝis a C4function, and p i : ℝ → ℝfor i = 1 , 2are continuous 2 π–periodic function. The main tool used in this paper is the averaging theory of second order. We also provide one application of the main result obtained. © 2015 Academia Brasileira de Ciencias. All rights reserved.
Subject: Soluções periódicas (Equações diferenciais)
Método averaging (Equações diferenciais)
Teoria dos sistemas dinâmicos
Teoria da bifurcação
Country: Brasil
Editor: Academia Brasileira de Ciências
Citation: Anais Da Academia Brasileira De Ciencias. Academia Brasileira De Ciencias, v. 87, n. 4, p. 1905 - 1913, 2015.
Rights: aberto
Identifier DOI: 10.1590/0001-3765201520140129
Address: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652015000501905
Date Issue: 2015
Appears in Collections:IMECC - Artigos e Outros Documentos

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