On Positive Periodic Solutions to Nonlinear Fifth-Order Differential Equations with Six Parameters

We study the existence and multiplicity of positive periodic solutions to the nonlinear differential equation: u5(t)+ku4(t)-βu3-ξu″(t)+αu'(t)+ωu(t)=λh(t)f(u),  in  0≤t≤1,  ui(0)=ui(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 Krasnos...

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Bibliographic Details
Main Authors: Yunhai Wang, Fanglei Wang
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2016/8567679