Boundary Value Problems
Volume 2008 (2008), Article ID 859461, 9 pages
doi:10.1155/2008/859461

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

Abstract

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.