Year: 2019
Author: Rebiha Benterki, Jaume Llibre
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 167–177
Abstract
In this work we study the existence of new periodic solutions for the well known class of Duffing differential equation of the form x′′+cx′+a(t)x+b(t)x3=h(t), where c is a real parameter, a(t), b(t) and h(t) are continuous T–periodic functions. Our results are proved using three different results on the averaging theory of first order.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2019.167
Journal of Nonlinear Modeling and Analysis, Vol. 1 (2019), Iss. 2 : pp. 167–177
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Periodic solution averaging method Duffing differential equation bifurcation stability.