1.
Pedro T. Cardin; Douglas D. Novaes
Asymptotic behavior of periodic solutions in one-parameter families of Liénard equations Journal Article
Em: Journal of Nonlinear Analysis, vol. 190, pp. 111617, 2020, ISBN: 0362-546X.
@article{CardNova2020,
title = {Asymptotic behavior of periodic solutions in one-parameter families of Liénard equations},
author = {Pedro T. Cardin and Douglas D. Novaes},
url = {http://arxiv.org/abs/1705.02362},
doi = {10.1016/j.na.2019.111617},
isbn = {0362-546X},
year = {2020},
date = {2020-01-01},
journal = {Journal of Nonlinear Analysis},
volume = {190},
pages = {111617},
abstract = {In this paper, we consider one--parameter ($la>0$) families of Li'enard differential equations. We are concerned with the study on the asymptotic behavior of periodic solutions for small and large values of $la>0$. To prove our main result we use the relaxation oscillation theory and a topological version of the averaging theory. More specifically, the first one is appropriate for studying the periodic solutions for large values of $lambda$ and the second one for small values of $lambda$. In particular, our hypotheses allow us to establish a link between these two theories.},
keywords = {},
pubstate = {published},
tppubtype = {article}
}
In this paper, we consider one--parameter ($la>0$) families of Li'enard differential equations. We are concerned with the study on the asymptotic behavior of periodic solutions for small and large values of $la>0$. To prove our main result we use the relaxation oscillation theory and a topological version of the averaging theory. More specifically, the first one is appropriate for studying the periodic solutions for large values of $lambda$ and the second one for small values of $lambda$. In particular, our hypotheses allow us to establish a link between these two theories.
