Open Access Research Article

Three Solutions for Forced Duffing-Type Equations with Damping Term

Yongkun Li* and Tianwei Zhang

Author Affiliations

Department of Mathematics, Yunnan University, Kunming, Yunnan 650091, China

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Boundary Value Problems 2011, 2011:736093 doi:10.1155/2011/736093

Published: 10 March 2011

Abstract

Using the variational principle of Ricceri and a local mountain pass lemma, we study the existence of three distinct solutions for the following resonant Duffing-type equations with damping and perturbed term , a.e. , and without perturbed term , a.e. , .