Multiple positive solutions for some multi-point boundary value problems with p-Laplacian

  • Authors:

  • Yanping Guo;Yude Ji;Xiujun Liu

  • Affiliations:

  • College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, PR China;College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, PR China;College of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2008

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Abstract

This paper deals with the existence of multiple positive solutions for the quasilinear second-order differential equation(@f"p(u^'(t)))^'+a(t)f(t,u(t))=0,t@?(0,1),subject to one of the following boundary conditions:@f"p(u^'(0))=@?i=1m-2a"i@f"p(u^'(@x"i)),u(1)=@?i=1m-2b"iu(@x"i),oru(0)=@?i=1m-2a"iu(@x"i),@f"p(u^'(1))=@?i=1m-2b"i@f"p(u^'(@x"i)),where @f"p(s)=|s|^p^-^2s,p1,0