On Positive Periodic Solutions to Nonlinear Fifth-Order Differential Equations with Six Parameters. (16th March 2016)

• Record Type: Journal Article
• Authors: Wang, Yunhai; Wang, Fanglei
• Other Names: Martinez-Moreno Juan Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2016(2016)
• Publication Date: 2016-03-16
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2016/8567679
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : We study the existence and multiplicity of positive periodic solutions to the nonlinear differential equation: u 5 ( t ) + k u 4 ( t ) - β u 3 - ξ u ″ ( t ) + α u ' ( t ) + ω u ( t ) = λ h ( t ) f ( u ), i n 0 ≤ t ≤ 1, u i ( 0 ) = u i ( 1 ), i = 0, 1, 2, 3, 4, where k, α, ω, λ > 0, β, ξ ∈ R, h ∈ C ( R, R ) is a 1-periodic function. The proof is based on the Krasnoselskii fixed point theorem.