Document Type
Article
Publication Date
10-2003
Abstract
In this paper, we study the following Duffing-type equation:
x″+cx′+g(t,x)=h(t),
where g(t,x) is a 2π-periodic continuous function in t and concave–convex in x, and h(t) is a small continuous 2π-periodic function. The exact multiplicity and stability of periodic solutions are obtained.
Repository Citation
Chen, H.,
Li, Y.,
& Hou, X.
(2003). Exact Multiplicity for Periodic Solutions of Duffing type. Nonlinear Analysis: Theory, Methods & Applications, 55 (1-2), 115-124.
https://corescholar.libraries.wright.edu/math/108
DOI
dx.doi.org/10.1016/S0362-546X(03)00218-9
Comments
NOTICE: this is the author’s version of a work that was accepted for publication in Nonlinear Analysis: Theory, Methods & Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Nonlinear Analysis: Theory, Methods & Applications, 55, 1-2, (October 2003) DOI# 10.1016/S0362-546X(03)00218-9.