1.
An Acad Bras Cienc
; 87(4): 1905-13, 2015.
Artigo
em Inglês
| MEDLINE
| ID: mdl-26648545
RESUMO
For ε ≠ 0 sufficiently small we provide sufficient conditions for the existence of periodic solutions for the Lienard differential equations of the form x'' + f â¢(x)⢠x' + n2â¢x + g (x) = ε2p1 â¢(t) + ε3 â¢p2(t), where n is a positive integer, f : â â â is a C 3 function, g : â â â is a C 4 function, and p i : â â â for i = 1, 2 are continuous 2π-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.