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  • 标题:An Approximation Approach to Eigenvalue Intervals for Singular Boundary Value Problems with Sign Changing and Superlinear Nonlinearities
  • 本地全文:下载
  • 作者:Haishen Lü ; Ravi P. Agarwal ; Donal O'Regan
  • 期刊名称:Boundary Value Problems
  • 印刷版ISSN:1687-2762
  • 电子版ISSN:1687-2770
  • 出版年度:2009
  • 卷号:2009
  • DOI:10.1155/2009/103867
  • 出版社:Hindawi Publishing Corporation
  • 摘要:

    This paper studies the eigenvalue interval for the singular boundary value problem − u ′′ = g ( t , u ) + λ h ( t , u ) ,    t ∈ ( 0 , 1 ) ,  u ( 0 ) = 0 = u ( 1 ) , where g + h may be singular at u = 0 ,   t = 0 , 1 , and may change sign and be superlinear at u = + ∞ . The approach is based on an approximation method together with the theory of upper and lower solutions.

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