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  • 标题:Uniqueness and Parameter Dependence of Positive Solution of Fourth-Order Nonhomogeneous BVPs
  • 本地全文:下载
  • 作者:Jian-Ping Sun ; Xiao-Yun Wang
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/106962
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    We investigate the following fourth-order four-point nonhomogeneous Sturm-Liouville boundary value problem: u(4)=f(t,u),t∈[0,1], αu(0)−βu′(0)=λ1,γu(1)+δu′(1)=λ2, au′′(ξ1)−bu′′′(ξ1)=−λ3,cu′′(ξ2)+du′′′(ξ2)=−λ4, where 0≤ξ1<ξ2≤1 and λi(i=1,2,3,4) are nonnegative parameters. Some sufficient conditions are given for the existence and uniqueness of a positive solution. The dependence of the solution on the parameters λi(i=1,2,3,4) is also studied.

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