Boundary Value Problems
Volume 2008 (2008), Article ID 859461, 9 pages
Research Article

The Existence and Uniqueness of Solution of Duffing Equations with Non-C2 Perturbation Functional at Nonresonance

Zhou Ting and Huang Wenhua

School of Science, Jiangnan University, Wuxi Jiangsu 214122, China

Received 13 July 2007; Accepted 13 March 2008

Academic Editor: Martin Schechter

Copyright © 2008 Zhou Ting and Huang Wenhua. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper deals with a boundary value problem for Duffing equation. The existence of unique solution for the problem is studied by using the minimax theorem due to Huang Wenhua. The existence and uniqueness result was presented under a generalized nonresonance condition.