On Positive Periodic Solutions to Nonlinear Fifth-Order Differential Equations with Six Parameters
Keyword(s):
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, wherek,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.
2004 ◽
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pp. 897-905
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2006 ◽
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pp. 175-182
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2010 ◽
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pp. 437-445
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2011 ◽
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2010 ◽
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2011 ◽
Vol 5
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pp. 147-158
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