Positive solutions to semi-positone second-order three-point problems on time scales
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摘要
Using a fixed point theorem of generalized cone expansion and compression we establish the existence of at least two positive solutions for the nonlinear semi-positone three-point boundary value problem on time scalesuΔ∇(t)+λf(t,u(t))=0,u(a)=0,αu(η)=u(T).Here t∈[a,T]T, where T is a time scale, α>0,η∈(a,ρ(T))T,α(η-a)
论文关键词:Fixed-point theorems,Time scales,Dynamic equations,Cone,Semipositone,Three-point problem
论文评审过程:Available online 15 November 2009.
论文官网地址:https://doi.org/10.1016/j.amc.2009.11.010