Article
Exact Multiplicity for Periodic Solutions of Duffing type
Nonlinear Analysis: Theory, Methods & Applications
(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.
Keywords
- Periodic solution,
- Topological degree,
- Stability index
Disciplines
Publication Date
October 1, 2003
Publisher Statement
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.
Citation Information
Hongbin Chen, Yi Li and Xiaojie Hou. "Exact Multiplicity for Periodic Solutions of Duffing type" Nonlinear Analysis: Theory, Methods & Applications Vol. 55 Iss. 1-2 (2003) Available at: http://works.bepress.com/yi_li/32/