Three Solutions for Forced Duffing-Type Equations with Damping Term. (10th March 2011)

• Record Type: Journal Article
• Authors: Li, Yongkun; Zhang, Tianwei
• Other Names: Motreanu Dumitru Academic Editor.
• Is Part Of: Boundary value problems. Volume 2011(2011)
• Publication Date: 2011-03-10
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2011/736093
• Languages: English
• ISSNs: 1687-2762

Abstract

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 termu ″ ( t ) + σ u ′ ( t ) + f ( t, u ( t ) ) + λ g ( t, u ( t ) ) = p ( t ), a.e.t ∈ [ 0, ω ], u ( 0 ) = 0 = u ( ω ) and without perturbed termu ″ ( t ) + σ u ′ ( t ) + f ( t, u ( t ) ) = p ( t ), a.e.t ∈ [ 0, ω ], u ( 0 ) = 0 = u ( ω ) .