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- W2374939622 abstract "Differential equations with delay have been researched gradually by some authors since in physics,biology,economics and the wide application of different subjects. In this paper,by using the fixed point index theorem in cones,the existence of positive solutions is studied for fourth-order functional differential equations with delay{u( 4)( t) + au″( t)- bu( t) = f( t,ut), t ∈[0,1],u( t) =Ф( t), t ∈ [- τ,0],u( 0) = u( 1) = u″( 0) = u″( 1) =0where f: [0,1]× C+→[0,+ ∞) is continuous,C+= { φ∈C | φ( θ) ≥ 0,θ∈[- τ,0]},Ф( t) ∈C( [- τ,0],[0,+ ∞)),Ф( 0) =a20,for every t∈[0,1],ut( θ) = u( t + θ),θ∈[- τ,0],10≤τ ,and a,b∈R,a 2π2,b a2/4,b/π4+a/π2 1.he results in this paper improve and generalize some known results." @default.
- W2374939622 created "2016-06-24" @default.
- W2374939622 creator A5064134380 @default.
- W2374939622 date "2014-01-01" @default.
- W2374939622 modified "2023-09-28" @default.
- W2374939622 title "Positive Solutions for Boundary Value Problems of Fourth-order Differential Equations with Delay" @default.
- W2374939622 hasPublicationYear "2014" @default.
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